{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "134e7f9d",
   "metadata": {},
   "source": [
    "# Demo 5: Initialization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6581dacd",
   "metadata": {},
   "source": [
    "Initialization is the first step to gaurantee good training. Each activation function is initialized to be $\\phi(x)={\\rm scale\\_base}*b(x) + {\\rm scale\\_sp}*{\\rm spline}(x)$.\n",
    "1. $b(x)$ is the base function, default: 'silu', can be set with ${\\rm base\\_fun}$\n",
    "\n",
    "2. scale_sp sample from N(0, noise_scale^2)\n",
    "\n",
    "3. scale_base sampled from N(scale_base_mu, scale_base_sigma^2)\n",
    "\n",
    "4. sparse initialization: if sparse_init = True, most scale_base and scale_sp will be set to zero\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6459e11a",
   "metadata": {},
   "source": [
    "Default setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c3faa4ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZMwZhYWFENt0YIpduhkql4mWSmZmJc+fOgWEY9OjRw0QmYhmM5coK63Q6uLm5QS6Xi04qHGKUC4dCocCOHTuwe/duMAyDJ598EnPnzhXFtv1tbW3IysriF3WeOnUKRqMR/v7+JrPRwsPDRXFOEqwDkYuDo1KpkJ2dzWcmhYWFYBgGPXv25MdLEhISEBwcLKoL15GkwiFmuXAolUpeMjRN44knnsDcuXNFtV2/Wq3mZZORkYG8vDwYDAb4+fmZZDaDBw+26zgfwboQuTgYzc3NyM7O5mdznT9/HizLolevXiYyEeuaBLVaDYVCAb1e7zBS4XAEuXA0Nzdj586d2LVrF4xGI6ZPn4558+YhICBA6NCuQ6PRIDs7m5+NlpOTA4PBAF9fX76WTVJSEiIiIohsHAgiF5GjVCqRk5PDd3MVFRWBZVkEBQVh5MiRfDdXnz59RCkTjmul4uvra1Kd0RFwJLlwtLS08JLR6/W8ZMRcC0ar1SInJ4df1Jmdnc2vrRo1ahQ/Gy0yMpLIRsQQuYgMhUJh0s1VVFQEAOjbty8vkoSEBIfZB6qtrQ1KpdKhpcLhiHLhUKlU2LlzJ3bu3Am9Xo9p06YhOTnZIWrAaLVa5Obm8mM22dnZ0Ov18PHxwahRo/jMZujQoTbZFYJgGUQuAtPY2GjSzcVtl96vXz9eJAkJCQ53M2svFXd3d8jlcoeVCocjy4VDpVJh9+7d2L59O3Q6HS+Znj17Ch1ap9HpdLxsMjIykJWVBZ1OB29vb4wcOZJf1GluDSCCdSFysTONjY18VpKZmclXFQwODjaZzeWohZ66o1Q4uoNcOFQqFfbs2YPt27dDo9Fg2rRpeOaZZxxKMhx6vR55eXm8bDIzM6HVauHl5YWRI0fymU1UVBSRjR0hcrExDQ0NvEiysrJ4mQwYMMCkm8sRL+r2dGepcHQnuXC0trbiiy++wLZt26BWq/Hoo49i/vz5DvtwA1wtSJeXl8cv6szMzIRGo4GnpydGjhzJz0aLiorqVKlsgmUQuViZuro6ZGVl8UK5dOkSgKuFmtp3czlCX3dnaGtrg0KhgMFggLu7O3x9feHq6ip0WDahO8qFo62tjZdMa2srL5nuUL3SYDDg9OnT/Gy0kydPQq1WQyaTmWQ2w4cPJ7KxIkQuXaS2ttakm+vy5csArpaYbS8TMU4B7Qqtra1QKpW3hVQ4urNcONRqNS8ZlUqFKVOmYP78+d3q83KltjnZnDhxAm1tbZDJZEhISODHbGJiYohsugCRi5nU1NTw04KzsrJw5coVAMCgQYNMurnEtGjNWrAsy3d/GQwGyGQyyOXybi8VjttBLhxqtRp79+7F1q1b0dzcjEceeQTz589H3759hQ7N6hiNRuTn5/NjNidOnEBrayvc3NyQmJjIZzYxMTFwcXEROlyHgcjlFlRXV5vIpLy8HAAQFhbGiyQ+Pr5byoTjdpcKx+0kFw6NRoO9e/diy5YtaG5uxuTJkzF//vxuXaXSaDSioKDARDYqlQqurq4mmU1cXByRzU0gcrmGyspKk26uyspKAMDgwYNNZCLE7rP2hkjFlNtRLhxarZaXjFKpxMMPP4wFCxZ0a8lw0DSNs2fP8utsTp48iebmZri6uiIuLo5f1BkXF3fbXhsdcVvLhWVZVFRUmMzmqqqqAkVRvEwSExMRFxdn13oZQsOyLFpbW9Hc3MxLxdfX97Z/Srud5cKh1Wqxb98+pKWlQaFQ4KGHHsKCBQsQHBwsdGh2g6ZpnDt3jp+NduLECSiVSri4uCA+Pp6fjRYXF9ftZkyaw20lF5ZlUV5ezsskMzMTNTU1oCgKQ4YM4WUSHx8Pb29vocO1O5xUlEoljEYjkco1ELn8P1qtFunp6UhLS0NjYyMvmf79+wsdmt1hGAaFhYV8N1pGRgaUSiWcnZ0RFxfHj9nEx8c7zD561qBby4VlWVy5csWkm6u2thYSiQQRERH8AHxcXNxtKROOa6Xi4eEBuVxOpHINRC7Xo9PpsH//fqSmpqKhoQEPPvggFixYgJCQEKFDEwyGYVBUVMTvjXb8+HE0NTXB2dkZMTExvGwSEhIEr65qS7qVXFiWRVlZmUk3V11dHSQSCYYOHcrLJDY2Fl5eXkKHKzhEKuZB5HJjdDodDhw4gNTUVNTX1+OBBx7AggULEBoaKnRogsMwDIqLi00ym8bGRkil0utk4+HhIXS4VsOh5cKyLC5dumSSmTQ0NMDJyek6mXh6egodrmggUrEMIpdbo9frceDAAWzevBl1dXV44IEHsHDhQiKZdrAsi5KSEn6dzbFjx9DQ0ACpVIrhw4fzsklMTHTo+5ZDy8VoNCIxMRF6vR7Dhg0zkUl3egKwNkqlEgqFAh4eHvD19SULxToJkUvn0ev1+Oabb5CSkoLW1lYcOXLkthpvMAeWZVFaWsrPRjt+/Djq6urwxhtvYNGiRUKHZzGilMvGjRsRHh5+09/R6/WQSqUwGAxwdnY2u66DQqHAtGnTuhKmqOAGEDsDy7KgaRpOTk5m1YBhGKbbdScePny40/u6tba2Ijs7G/Hx8SZPlNw5eCPUajXi4+O7HKtY2LRpE8LCwjr1uyzLQq/Xw9XVFRqNBm5ubp0657rb9QkAn376KSIiIjr1uzRNg6KoDu9rRqMRADrchLOpqQkzZ87sWqBWQpRbhJaWluKZZ5657t9pmkZLSwsyMjKwd+9e+Pr64p133rFozcmrr77arU5err5FZ9HpdGhsbETPnj07XQOjvr6+28mlvr4ed9xxR6d+l2EYhIeHw8PDAxKJBCzL4ujRozh79iwefPDBG675SE9P71ZyKS0tRXJy8nX/zrLsDcVx6NAh7NixA6Ghofj3v/99y2N0t+sTAIqKirB48WKLX6/X6/HXX39h165dAIAvvvjiut9ZsGABkcvNoCgKarUaLS0tqK+vx+XLl1FSUoLS0lKUl5fDzc0N06dPR15eHp566il88803JOUGOp2FsCyLuro6uLi4oKGhwaF3wLUGnZWrk5MTv95Jq9Xihx9+wOXLlzF27Fjs2bMHy5cvt2GU4oGiKDg7O4NhGFRXVyMjIwP5+flobm6Gj48P4uPjMWrUKL7a5XfffYf33nsPK1euxHvvvYcvv/wSTz31lMCfwv5w7WYuLMvi9OnTeOedd1BeXo7HH38cn376KaqqqkQ99VuUcgGAWbNmQafTwdnZGQEBAQgJCcH48eMRHh6OIUOGQCaTYdq0aZg/fz4WLFiAbdu2kZKnnUSn04FhGAQGBvLb2RBuDcuyYBgGly5dwi+//AJ3d3c888wz8PLywqFDh6BUKiGVSh16ELazHD58GIcOHcKpU6fQu3dvjBgxAgMHDkR9fT327t2L9evXY+TIkXBzc8M333yDDRs2IDExEf3798e0adMwa9YsUZflFgsMw2DPnj1YsWIFZs2ahc8//xw9evRASUkJXn31Vezbt0/oEG+IaOXyxhtvoEePHpDL5ZDJZHB2dr7uZHRycsLGjRtx//33Y9WqVXj55ZfJCXsLuKzF39+fl/HNujNuBzoaduT+jWEYGAwGqFQqXLlyBWfPnkV9fT0SEhKQlJTEP4n6+/tj8+bNcHNz61LXh6Pw6aefYvz48Zg9ezbCw8P565NlWeh0OuTl5eHo0aNobm5GamoqRowYAYqiEB4eDplMhl9//RWTJk0S+mOImtbWVrz99tv46aefkJKSgrvuuou/TpctW4ZRo0YJHOHNEa1cEhMTO/V7rq6u2L17N+6//37ExMRgwoQJNo7MsWEYBgzDwNPTkz9RGYa5rWuP/+c//+GzEoZhQNM0DAYDdDod1Go1NBoNjEYjvLy8EBERgb///e/w8fExEfKsWbNw5MgR5OXlCfhJ7MeePXvg7e193UMJRVFwc3PD6NGj+Ztf+9+hKAoff/wxlixZgokTJ97WDzU3wmg04sSJE3jzzTfh4eGBH3/8EcHBwSZtFRwcDIZhRP1gKFq5mEPv3r2xevVqLFmyBDt37kRUVJRoG1xo6uvrIZPJ+PaRSCRQq9XdbqDeHLRaLSQSCSQSCZycnODi4gJvb2+4urrCw8MD3t7e8PHxgaenJ6RSaYfnlp+fHyZPnoy8vDyoVCq4uLh0600MOzN55EbX4NixY6HRaKBUKm+LDWBvBcuy/NqzvLw8bNmyBadPn8bs2bOxYMGCDseTubY1GAyiXZ/WLeQCAHfddRdeeeUVzJs3D2vXrsXo0aOFDkl00DQNrVZrssmgTCZDa2vrbS2Xhx56qMN/N/cBhaIouLi4ICUlBT4+Ph3OeCRcbadJkybhlVdewdatW4UOx65wO4wrlUrU1NSgoqICV65cwZUrV1BQUACdTof77rsPK1asuC5buZYePXrgq6++wqxZs+z4CTpPt5ELRVGYOXMmvL298dxzzyEjI4PMIGsHy7KoqamBp6enycQHDw8P1NXVCRiZ8Fgzy33ggQeQk5OD8vJyUXdZCM17772HhIQEGI3GDtdrdFcefvhh0DQNo9EINzc3BAQEoE+fPggJCcHkyZMRExMDf3//Tp03q1evRnJyMmbMmCHKyUzd6lulKAoPP/wwvvvuO/zjH//Ahg0bhA5JFLAsC4VCAZZlrytq5urq2uGANsEyYmJiEBUVhRUrVhC53ASZTIYBAwZgw4YNePHFF4UOx2589NFHfF0kuVwONzc3flKIuefKhAkT4Onpid27d4tyarf4dNdFKIrC2rVrcfjwYajVaqHDERSWZWE0GqFUKqFSqdCrV68OB2AJ1qP9WobW1laBoxE3mzZtQlpa2m31cDNq1ChER0cjODgY3t7ecHFxAUVRFl2HFEVh1apVeOedd2wQadfpdnIBrnb1jBkzBkuXLhU6FEHgpoM2NjaiuroaOp0OvXr16rD7gcjFNnh6eqKkpEToMERNv3794O3tjW+//VboUByW8ePHi/YhplvKBQBWrVqF33//HXq9XuhQ7AbDMGhra0NtbS0/jhIYGIiePXvecubS7fT0aA9CQ0Nx9uxZocMQNVwvw7vvvkvOPwvhlhCIsf26rVw8PT0xYsQIvPXWW0KHYjeqq6uhVCrh5uaGXr16wd/fv9MbBTIMY4cIbx8iIiJQUVEhdBiiJzY2FkajkewU0UW4zSzFRLeVCwBs2LABBw8ehMFgEDoUuyCXy9GrVy/4+Ph0uKPBjaAoCjqd7qa/I8YnIzETHBwMrVYrdBiih5vleTsN6lsbqVQqyi7Ybi0XX19fDB48GB9++KHQodgFDw8Ps7fRB67OGGtra7vhz1mWRUtLS1fDu60g9YQ6z0svvYTi4mLyAGMh4eHh+Oabb4QO4zq6tVwAICUlBV9++aUo00ax4OHhcdOn7La2NjQ3N9sxIseHTJToPK6urnB2dkZhYaHQoTgkkydPxg8//CB0GNfR7eUSGBiI4OBgrFu3TuhQRIu7uztomr7hzxUKBdmmw0w4uZCn8c4xd+5cvPbaa0KH4ZA89NBDuHz5stBhXEe3lwtFUUhNTUVaWtpNb6C3M9duWsnNOuNujDRN3xbbyBOEY/78+bh48SKRsQX0799flPe2bi8XAOjTpw+CgoKQmpoqdCiih9smpr6+HjRNk4u9i9xqogThKtysxsbGRqFDcTjal84QE7eFXLjsZf369WTKbQe078IxGo3Q6/Xw8vJCbW0t2traIJFIyBiCBUilUtTU1AgdhsNw55134u233xY6DIejfekMMXFbyAUABgwYgICAAOzYsUPoUEQLwzBobGyEh4cH/Pz8YDAY0NTUdN1+ZITOERAQgKKiIqHDcBjefvtt/PHHH6J7AncEnJ2dUVxcLHQYJtw2cqEoCps3b8Znn30mOsOLAWdnZzQ3N0Or1cLPzw8URcHPzw/Ozs6QyWRCh+eQDB48WJTrD8RKQEAAWJaFRqMROhSHY8SIEaIrX3DbyAUAwsLCIJfL8dVXXwkdiugIDAzk17JwfbheXl4dbnZJ6ByDBw8mYwhmQFEUoqOj8dFHHwkdisPxzDPP4Pvvvxc6DBNEKxeuOps1/wBXd2Lds2ePwJ/ONnSlbZydneHi4sJ3gbXvmmjfft0RW5xrLMuiR48e3bYIm63a7OOPP0ZWVpbQH89m2Krd7r77btHN6BRlPRdfX1/89ttvNnv/OXPmoL6+3mbvLwROTk5dLjHA1US/0fuItZxqV5DJZDZdvHfHHXeIdtdaS5HL5Ta9PufNm9ctC9j5+fnhp59+stn7v/TSS6K6r1GsCB9J7bGanqKo69Z3ODL2+hq7WxeZPdYHUBQlykqBlkKuT8u43dpNlHIxB4ZhYDAY4Ozs3K0uYFvCsizfZt1NFraEpmmo1WrIZDLRXMBih2EY6PV6uLi4kOvTDLhlAVKp1GGvUYf/ts+fP48RI0bg/PnzQofiMBgMBlRWVt42u0Vbi9raWnz00Ueora0VOhSH4fz584iNjSXXp5nk5+ejb9++yM/PFzoUi3F4uRAIBAJBfBC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqOLRcWJaFQqGAwWCAQqEAy7JChyR6WJZFQ0MDKioq0NDQQNqsk7Asi6amJiiVSjQ1NZF26wTk+rQMrt1omnbsdmMdEIVCwa5evZodOHAgC4D/M3DgQHb16tWsQqEQOkTRQdrMMki7mQ9pM8vobu3mcHL5+eefWQ8PD5aiKJaiKJMvgfs3Dw8P9ueffxY6VNFA2swySLuZD2kzy+iO7eZQcvn5559ZJycnViKRmDT+tX8kEgnr5OTkUF+ErSBtZhmk3cyHtJlldNd2o1jWMTr0lEol+vbtC41GA4Zhbvn7EokE7u7uqKiogFwut32AIoS0mWWQdjMf0maW0Z3bzWEG9Hfs2AG1Wt2pLwAAGIaBWq3Gzp07bRyZeCFtZhmk3cyHtJlldOd2c4jMhWVZhIWF4eLFi2bNnKAoCqGhoSgpKQFFUTaMUHyQNrMM0m7mQ9rMMrp7uzmEXBoaGhAYGNil1/v7+1sxIvFD2swySLuZD2kzy+ju7eYQ3WKtra1der1KpbJSJI4DaTPLIO1mPqTNLKO7t5tDyMXT07NLr/fy8rJSJI4DaTPLIO1mPqTNLKO7t5tDyMXf3x8DBw40u3+RoigMHDgQfn5+NopMvJA2swzSbuZD2swyunu7OYRcKIrCokWLLHrt4sWLRT3oZStIm1kGaTfzIW1mGd293RxiQB/o3vPBbQVpM8sg7WY+pM0sozu3m0NkLgAgl8tx4MABUBQFieTmYUskElAUha+//lr0X4AtIW1mGaTdzIe0mWV063az95YAXaWze/D88ssvQocqGkibWQZpN/MhbWYZ3bHdHE4uLHt199A1a9Z0uHvomjVrWKVSKXSIooO0mWWQdjMf0maW0d3azSHlwsEwDPvbb7+xANjffvuNZRhG6JBED2kzyyDtZj6kzSyju7Sbw4y5dARFUXzfo1wuF/3sCTFA2swySLuZD2kzy+gu7ebQciEQCASCOCFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1XFYubS2tqK4uBj5+fkAgJqaGuj1eoGjEj+tra24fPkyAKCwsBDl5eWk3W6BwWBAZWUlCgsLAQAXLlxAU1MTGIYRODJxQ8418+lO9zWKZVlW6CDM4eLFi0hLS8N3332H8vJyGAwG6HQ6eHt7IyYmBk8//TSmTJkCLy8voUMVFe3b7fLly9BoNHBxcYGHhweioqJIu3WAUqnEgQMHsGfPHpw9exYqlQp6vR5ubm4IDAzEuHHjMG/ePIwZMwZSqVTocEUDOdfMpzve1xxGLjRN48svv8SyZcug0Whw//33495770VwcDAYhkFpaSl++uknHD58GLGxsVi3bh0iIyOFDltwSLtZxvHjx7FkyRKcOXMGCQkJePDBBxEdHQ1PT08olUrk5OTg+++/R2lpKaZPn4733nsPgYGBQoctKORcM59u3WasA0DTNLthwwbWw8ODvf/++9nTp0+zRqORzcjIYNesWcOuWbOGLSwsZPV6PXvkyBE2Pj6eHTx4MJufny906IJC2s0yfvnlFzYoKIgNCwtj9+/fz6rValapVLKff/45u2bNGnbbtm2sRqNhW1pa2M2bN7O9e/dm7733Xrampkbo0AWDnGvm093bzCHkcvjwYVYul7NTp05lm5qaWIZhWJZl2TfeeIMFwAJgd+3axbIsyzIMw16+fJlNSkpix44dyyoUCgEjFxbSbuZTVFTEhoSEsMOGDWMLCgr4Nrtw4QLr4+PDAmBDQkLYpqYmlmWvttuff/7J9u3bl505cyar1WqFDF8wyLlmPt29zUQ/oK/RaPDuu++iZ8+eWLVqFeRyOSiKuuHvUxSFfv36Yd26dSguLsbu3bvtGK14IO1mPjRNY+XKlVAoFFi/fj0iIyNv2mbA1XYbO3YsPvroIxw8eBA///yznaIVD+RcM5/boc1EL5ecnBycOHECzz33HPr06XPLix24+kWMGDECjz32GLZv3w61Wm2HSMUFaTfzKS0txffff48pU6Zg7NixnWoz4Gq7TZ48GaNGjUJqaiqMRqONIxUX5Fwzn9uhzUQ/xeWPP/6Aq6sr7rnnHhQWFppcuLW1tfz/X7lyBWfOnOH/LpfLMXnyZOzevRtlZWWOMwhmJUi7mU9GRgZaW1vx6KOPoqysDG1tbfzPKioqQNM0AECv1+Ps2bPw9vbmf967d29MmTIFb7/9NmpqatC3b1+7xy8U5Fwzn9uizYTul7sVM2fOZMPDw9ni4mI2ODiYdXNz4/9IpVK+b9LZ2dnkZ3PmzGEvXbrEBgQEsD/99JPQH8PukHYzn6VLl7JyuZwtLCxk7777bpN2cXV15duMoiiTn7m7u7MbN25k//rrL9bLy4s9efKk0B/FrpBzzXxuhzYTdebCsiy0Wi1cXV3h5OQErVYLrVbb4e8aDAYYDAb+73q9Hi4uLvzrbidIu1mGRqOBVCqFq6srdDrdDT8/177tMRqNcHd3B8uy0Ol09ghXFJBzzXxulzYTtVwoikJAQAAyMzNB0zTGjx8PpVLJ/7ykpAQXL14EAERFRaF37978z6Kjo6FUKtHW1obNmzfj4sWLiIqKQlRUFHr27Nnp/nRHxBrtptPp4OfnZ+/QBaVHjx7QaDRQKpUYOXIkPDw8+J9pNBpkZGTwEklKSuIXTlIUheDgYNTV1UEikcDX11eoj2BXuJukp6cnmpubybl2E7RaLQoKCpCXl4e8vDz8+eefcHV17d5tJmDW1ClSU1NZd3d39s8//2SNRqPJn2XLlvHp444dO0x+RtM0u337dlYul7MvvfQS+8gjj7CJiYlsYmIi+8ADD7BLly5ld+3axebl5XXL6aNdbbdevXqxly9fZmmaZmma5qdJdldUKhX74YcfslKplP3888+va7Pi4mJ+KvKAAQPYhoaG69rttddeY8PDwx1imqilGAwGtrm5ma2urmYvXrzIlpaWsh988EGXz7WKigqhP5rVYBiGvXLlCnvw4EH2rbfeYh9++GF20KBB7IABA9iIiAh2+vTp7JQpU7p9m4k6cwGACRMmwMvLCzt27MDo0aNNttmQSCQm/+/k5MT/Xa1WY+fOnbjnnnvwySefwMnJCQqFAgUFBcjPz0d+fj5SU1Oh1Wrh5OSEsLAwPrMZNmwYevfu7dDZzYQJE+Dp6Wlxu40dO5Z/YmKvrocCcPUpnfvj6DAMgwsXLiA7Oxvnz5+HVqtFz549sWPHDjzxxBMmA/bt24iiKJN2Y1kWVVVV2L9/P+677z5IpVLo9Xo4Ozs7fDux/8tO1Go11Go1v8+Vm5sb5HI5ZDIZHnvsMaxatapL51qvXr3s96GsjFqtRkFBAXJzc5GXl4fc3Fw0NDQAAPr374/Y2FhMnToVsbGxGDJkCJycnHDx4kUcPXq0W7eZ6OUyYMAAzJgxA2lpaXjkkUfwwAMP3PKCZRgG27dvR15eHr799lv+y/H19cW4ceMwbtw4AFfXNVy4cIEXzokTJ5Cens7/7rBhw3jhREREwN3d3bYf1krQNA13d3c8/PDD2Ldvn8Xt1v6E5+TCsiy/YSP3fo4mm5aWFuTm5iInJwdKpRI9e/bEAw88gOjoaAQHB+OVV17B2rVr8frrr3dqzzCdTocVK1ZAo9Hgueeeg1QqhU6ng06ng1QqhbOzs0PtPWY0GnmZaDQaMAwDJycnyGQy+Pr6QiaTmdwAu3KNHj16FG+99ZbJ+4kZlmVx5coVXiJ5eXkoLCwETdOQyWQYMWIEpk+fjtjYWMTExNywi9Sa9zWxIvozXiKRYOnSpTh69CgWLlyIbdu2Yfz48ZBIJJBIJJBKpfzNjWVZ0DSNvXv34q233sLChQsxZsyYG763k5MTwsPDER4ejilTpgAAmpubUVBQwAuHm08ukUgwaNAgPrOJiopC3759RXdTbW1tRVNTEyiKwrJly3DmzBmrtFt7kQD/n804SlbDMAxKSkqQnZ2N4uJiODk5ISoqCvHx8Sbf4+zZs/Hnn3/iww8/hEwmw8KFC+Hm5gYAkEqlkEqlJhmLSqXC+++/j71792LVqlX81FBXV1cYjUbo9XpoNBpIJBI4OzuLMpvpTHbi6up6w9d35RqNjY3Frl27cOXKFbzzzjvo2bOnvT52p1Cr1Th16pSJTBQKBQAgNDQUsbGxeOKJJxAbG4uwsLBO3/BteV8TCw6zceW5c+cwa9YslJWVYeHChZgzZw4YhkFVVRUAICQkBM3Nzdi4cSO+/PJLzJw5Ex999BFkMlmXjsswDC5dusR3pRUUFKCsrAwA4OPjg2HDhvGyiYyMNBkEtidGoxGNjY3QaDTw9PSEn58fJBKJXdqtfVbT/nQSg2yam5v5LKW5uRlBQUGIj49HdHQ0L41rqa+vx/PPP48ffvgBkyZNwpIlSxAREYGioiIwDAMXFxcMGjQImZmZ+OSTT3Dq1Cm8++67WLhwYYc3F5qmYTAYYDQawbKsKLIZg8Fgkp1wcclkMri7u1+XnXQGS8+1kydP4u2334ZWq8Xrr7+OyZMnC3LOsCyLS5cumXRvFRcXg2EYeHp6YsSIEXxGMmLECMjl8i4fs7NttmHDBuzdu9dq9zV74DByAa4uZPvb3/6GoqIieHp6IjIyEv369QNN0ygrK0NRURH8/f3x2muvYdasWTd92uoKKpUKZ8+e5WVTUFCA1tZWUBSF0NBQk7Gb4OBgm6f8KpUKCoWCnyV2bfddZWUlVqxYga+++gpSqdTm7XZtRgPYVzQMw6C4uJjPUpydnREdHY34+PhOj6W1tbUhNTUVa9euRW1tLUJDQxEWFgYvLy8oFAoUFRWhqqoKcXFxeOutt3DnnXfe8ntmWZbPZhiGAUVRfDZj63OEZVloNBpeKAaDARRFwc3NDTKZDDKZDC4uLl0+jqXnWktLCz788EN88803GDt2LN59912bjymoVCqcPn2al0leXh6am5tBURTCwsIQExPD/xk0aJDNvqPOtBkALFmyBEuXLrXZfc3aOJRcsrKy8OGHH2LmzJkoKipCZmYm6urq4OzsjJCQEIwfPx4TJ05Ejx497BoXwzC4cuUKL5v8/HxcvHgRLMvCy8vruuzGWjUZbpStdARN0ygsLMShQ4fs2m72zGq4rfBzcnKgUqnQp08fxMfHIyoqyuILsqamBr/99huOHDmCixcvQqvV8uNxEydOxMiRIy16irRHNnOz7ITLUGxxw+zKufbXX3/hzTffRGtrK5YuXYqpU6da5RzhJm+0F0lJSQlYloWPjw8vkdjYWAwfPtzudVNu1mZ33XUX6urq4Orqiueff1503ao3wmHkwrIsli5dCg8PD7z99tv8v9E0DYqiRDe41dbWdl1209LSAuBqqsvJZtiwYQgJCTH7IueyFYlEAn9/f7MmGwjZbtbOamiaRlFREbKzs1FaWgoXFxeTLMWa0DQNlmX5fnFrwGUzBoOB/04szWYYhjEZO7FVdmIOlpxrKpUKH330EQ4cOICkpCS8++67Zn+Xzc3NOHXqFC+TU6dOQaVSQSKRIDw8nBdJTEyMRdefLemozbhiYjNnzhT3li/tcBi5ZGZm4uOPP8Y777zjMI3bHpZlUV5ebpLdXLhwAQzDwMPDA0OHDuVlM2zYMJNpsO0xGo1oaGiAVquFl5cXfH19RXVhmIulslEoFMjOzkZubi5aW1vRt29fJCQkYNiwYXa/gVoLhmGg1+vNymb0ej0vE61Wa7fsxB4cPXoUb775JlpaWvDqq69i2rRpHX4WmqZRUlJiMuh+4cIFAFdnfV6blQg1LtpV0tLSoNFo8MILLzhE9uIQcmFZFq+++iq8vLzw1ltvCR2O1dBoNDh37pzJ2htupW5wcLDJzLTQ0FCo1Wo0NTXBycnJ7GzFEbiVaLiug+zsbFy4cAFubm4YPnw44uPjRT/n3xxuls0AMBk7MRqNoCiKH4SXyWT873UHWltb8cknn2Dfvn0YOXIkVqxYAQ8PD75rKzc3F6dOnYJarYaTkxOGDBnCZySxsbEIDg52iBtxZ7h06RJSU1MxY8YMDB06VOhwbolDyOXEiRP49NNP8e677yIiIkLocGwGy7KorKzkZVNQUIDi4mLQNA2pVIqBAwciOjoaiYmJiI6O7vbbjHCiaWhoQE5ODvLy8qBWqxEcHMxnKd3pRtoRDMOgra0Nzc3NfFeXVCo1kYm7u3u3uYFeC03TOH/+PPbt24dt27ZBoVDAzc0NHh4eCAgIQGxsLC+TqKgoh5hF1RXS0tKgVquxaNEi0X/nopcLy7L4xz/+AR8fH7z55ptCh2N36urqkJ2djZKSEly5cgWFhYVobGwEAPTt29ckuxk4cKBDLda7GUajEYWFhcjKysKlS5f4LCUuLo4fDG7fdSb2C80cGIa5LjsBwGcvrq6ucHFxsdtMM3vS0NBgkpWcOXMGGo2GX5Om0WhQWlqKkSNH4rPPPkNwcLDQIduVsrIybN682SGyF9HLhctaVqxYgSFDhggdjt0wGAxobGyEVquFt7c35HI5JBIJWJZFTU2NSXZTVFQEo9EIV1dXREZGmkwW8Pf3F/qjmEV9fb1JljJgwADEx8cjMjLSJEsRerqztelo7MTZ2bnD7IRhGH63XJZl4eTkZNJt5ihwDxDt15WUl5cDuLqJaPusZNiwYfy6pJMnT+Jf//oXGhoasGTJEsyYMaNbCfZWbNmyBW1tbaLPXkQtFy5rkcvl+Ne//iV0OHajpaUFCoUCTk5OCAgIuOFiPw69Xo/z58+bTBaor68HAAQFBZnIJjw8XHQ3IYPBgHPnziE7OxtlZWWQyWSIiYlBXFwcAgMDb/n6m4mG+3+xwTAMLxO1Wg2apiGRSPjuLnd39059T5xkujrTzB7U1taaDLrn5+dDp9PB2dkZw4YNM5nBFRQUdNPvTa1WY9WqVdizZw9iY2Px/vvvo3///nb8NMJx+fJlpKSk4Mknn8SwYcOEDueGiFouGRkZWLVqFd577z0MHjxY6HBsjsFgQENDA3Q6Hby9veHr62vxjbGurs5ENufPn4fBYICLiwuGDBli0p3WmRu4LeC6/E6dOgWNRoOQkBAkJCQgIiKiS917Ys1qdDqdSXYCAC4uLnx24ubmZnF8YstmuGqd7WXCrToPCgoyGXQfOnSoxTP8srOzsXz5ctTV1eHFF1/ErFmzRLcswRZs3boVKpUKixcvFuXDEyBiuTAMg1deeQX+/v544403hA7H5jQ3N0OpVEIqlcLf3/+W2Yq56PV6lJSUmMxMq6mpAXC1C6L9rgKDBw+22XReg8GAgoICZGdn48qVK/Dw8OCzlICAAKsfr71krt0Djft/W0HTtMnYybXZiUwms8kYGbcLgD2zmerq6uuyEu5hJjo62mS1u7Vn9mm1WqxevRq7du3C8OHD8d577yE0NNSqxxAbV65cweeff44nnngCUVFRQofTIaKVy7Fjx7B69Wq8//77CA8PFzocm2HNbMVcGhoaTGRTWFjIbxUfHh5ukt10tcBaTU0NsrOzcfr0aWi1WgwcOBDx8fGIiIiw65OmrbMaW2Yn5nKjbIbbFNFSdDod8vPz+YH3vLw8/kGlb9++JllJRESE3bKn3NxcLF++HNXV1Vi8eDGefvrpbp3FbNu2Dc3NzVi8eLEou0FFKReGYfDyyy8jMDAQy5cvFzocm8CyLFpaWvhsJSAgQPA9g4xGo0l2U1BQgMrKSgBAQECAiWyGDBlyy3j1ej0KCgqQlZWFiooKeHp6IjY2FnFxcaKoonejrIb7b2duwDRNm2yxwmUn7TeAFMMMPm7dDLcuRiqVwsXFpVP7oVVWVpoMup87dw5GoxFubm6Ijo7mZRITEyNYFyuHVqvFunXrsGPHDgwdOhQrV67EwIEDBY3JVpSXl2PTpk14/PHHER0dLXQ41yFKuRw9ehRr1qzBBx98gEGDBgkdjtXR6/VobGyETqeDj48P5HK5aPtNm5qa+G1s8vPzce7cOb7AWnh4uMlkAW5TyOrqamRlZeHMmTPQ6/UYNGgQ4uPjMXjwYFE/SXY2q2m/xYpOpwNwdYt9LjtxdXUV7fd5q2xGo9EgPz/fZA8ubnJI//79TQbdhwwZIgpxdsTp06exfPlylJeX4/nnn8e8efNEfe5Zyvbt26FUKkWZvYhOLlzW0rNnT/zzn/8UOhyrIsZsxVy4AmvtJwuUl5fzNypPT0+4u7sjJCQEkyZNQlJSklW2Jrc37SXDFc/ixk+4z8rJRCaTOeSNy2Aw4OLFi8jNzcXp06dx5swZvqwAV/iKk8mIESNEkW2ag06nw4YNG7B161ZERkbi/fffR1hYmNBhWZWKigps3LgR06dPx/Dhw4UOxwTRyeWvv/7C2rVru13Wotfr0dDQAL1eL/pspbNw5X3/+OMPHD58GNXV1dDr9fy25RKJBGFhYSbZjRgLrF0Ly7ImYyc6nQ4sy8LFxYXv6nJ1dYVEIhF8Bpo5qNXq67aYb2pqAsuyCAkJQXR0NN/NFRERIeoMzBzy8/OxbNkyXL58Gc899xySk5NFm3FZwo4dO9DU1IQXX3xRVNmLqORC0zSWLFmCoKCgbpO1sCyL5uZmNDc3w9nZGf7+/g6XrVyLVqvFmTNnkJ2djerqanh7eyMuLg5xcXHw8fHpVIE1TjZDhw4VxZYdRqPRZGYXV9q3/cyu9hUouzpWY2u4wlftZ3BxWQlX+Kp9VsJllx2NzTg7OztkZtYevV6PjRs3YsuWLQgPD8fKlSu7zfIGLnt57LHHMGLECKHD4RGVXP7880+sW7cO//73v7vFIFz7bEUul8PHx0cUNx5LYFkWFRUVyM7ORn5+PmiaRnh4OOLj4xEWFnbLJyaVSmVSPvrs2bOCFlhjb1Lat/3YSWffS+h1NVzhq/abOXKboIaFhZkMunem8BXLsjAYDNDr9XyZARcXly7PNBOas2fPYtmyZbh48SIWLFiA+fPni25RsSXs2LEDjY2NeOmll0STvYhGLlzW0qdPH7z22mtCh9Mlrs1WAgICHHYbeK1Wi9OnTyMrKwu1tbWQy+WIi4tDbGzsDcsCdAaGYXD58mWTmWm2LrDGjZ1w4ydcdtJ+i5WuPqF3VBzN2lnNzQpfeXt7mwy6Dx8+vEvfE2CazQD/v8eZo2YzBoMBKSkpSElJwaBBg7By5UqH3xC3srISGzZsEFX2Ihq5HDlyBOvXr8eHH37o0AuguGzFYDDAx8fHIbMVrvZMVlYWCgoKwDAMhgwZgvj4eAwcONBmT0atra04d+7cdQXWKIrCgAEDTKZCDxgwoFNP39bKTizFGlkNV/iqfVYiROErLpsxGAxgGAYSiYQXjaOd4wBQWFiIZcuWobS0FM888wwWLFjgsA+BALBz507U19djyZIlosheRCEXmqbx0ksvoV+/fli6dKnQ4VgEy7JQKpVobm6Gi4uLQ2YrGo0GeXl5yMnJQV1dHXx9fREfH4+YmBi7l30FTAusccK5VYG1W2UnMplMsAuvo6wGuL5mTWlpqcm6EjEWvuou2YzBYEBqaio2bdqE0NBQvP/++6Ler+tmVFVVYf369Zg2bRpiYmKEDkcccvnjjz+wYcMGfPTRRwgJCRE6HLPR6XRoaGiA0Wh0uGyFZVlcvnwZ2dnZOHv2LBiGQWRkJOLj4xEaGiq6z6FWq1FYWGgyFbqpqQkMwyAoKAiDBg3C4MGD+e40Dw8P0U6gYFkWTU1NfDaSl5eH06dPo62tDVKpFEOGDDHJSvr37y+676O7ZDNFRUVYvnw5ioqKMG/ePDz33HMO93AIALt370Ztba0oshfB5ULTNF588UX0798fr776qpChmI0jZytqtRp5eXnIzs5GQ0MD/Pz8+CzF09NT6PBuisFgMNlRuLq6GqWlpbh06RJKSkpw6dIlMAwDd3d3REZGmmQ3QhZY4wpftZ/Bxc2i8/Pz42dutS98JYYNNzsLTdN8mWbA8bIZo9GILVu2YMOGDejfvz9Wrlwp2n27bgSXvUydOhWxsbGCxiK4XH7//Xds2rQJH3/8MQYMGCBkKGbRPluRy+Xw9vYW/Q2Am56anZ2Nc+fOAQAiIyORkJCAAQMGiDZ+lmVNpgkbDAZQFGUydtJe6lqtFoWFhSb7pjU1NQG4vsDaoEGDbHbza2xsNOneal/4KjIy0mQPrmvX/4hhBpqlOHo2U1JSguXLl+PcuXOYM2cOXnjhBdFmvx2xe/du1NTUYMmSJYKKXVC50DSNxYsXIyQkBP/4xz+ECsMsWJaFQqFAS0sLXF1dERAQIPqpjG1tbcjNzUV2djaampoQEBDAZyliWGPSEe2zE41GA5ZlIZVKTWZ2dTbtv1mBNTc3N0RERJhkN5YUWOMKX7XPSq5cuQLg5oWvOhs/919Hkw1N07xoAPB7mok9m6FpGlu3bsX69evRt29fvP/++6KZhXUrqqursW7dOjz66KOIi4sTLA5B5cJlLZ988olDFPpxpGyFZVlcvHgRWVlZKCwshEQiwdChQxEfHy/KvnuutC+XodwqO+kqOp0O58+fN8luGhoaAFytN9I+uwkLC7vuAaKurs4kK+EKX0mlUgwbNswkK7lV4StzccSsxlGzmQsXLmD58uXIz8/H008/jcWLF1u9HIYt2LNnD6qqqvDyyy8LJnLB5GI0GrF48WIMHDgQr7zyihAhdBpHylZUKhU/lqJQKNCjRw/Ex8djxIgRcHd3Fzo8E25V2tfNzc2ug5K1tbUm2Q1XYM3Z2Rk9e/aEq6srNBoNKisrTSp9th90Hzp0qN27UBxNNh1lM9zmmWKEpmns3LkTa9asQVBQEN5//33BxzNuRU1NDdauXYspU6YgPj5ekBgEk8t///tfpKSk4NNPP0VwcLAQIXQKrVaLhoYG0DQNX1/fLi9IswXcorrs7GycP38eEokEUVFRiI+PR79+/URzg+GyE04o3BYj7bdYEYO0ucJXmZmZOHbsGAoKCqDRaGA0GuHi4gIPDw/06dMHiYmJGD16tM0LrJmDI5V8drRs5tKlS3jjjTdw6tQpzJw5Ey+99JLoHtja88UXX6CyslKw7EUQuRiNRixatAhhYWF4+eWX7X34TtE+W3Fzc4O/v78obnztaWlp4cdSmpub0bNnTyQkJGD48OGiSd1vlZ24u7sLXnq4oKDAZLX7zQpfNTc3m0yD7qjAGtel1tUCa9bAUbIaR8lmaJrG7t27sWbNGgQGBuK9995DQkKC0GF1CJe9PPLII4LEKIhc/vvf/2Lz5s349NNP0a9fP3sf/paIOVthGAYlJSXIzs5GUVERpFIpoqKikJCQgD59+gh+wxBzdsIVvmo/6H727NkuFb66tsBafn4+XyueK7DGyaYzBdZsiSNkNSzL8mWaGYYBRVFwcXERXTZz+fJlLF++HLm5uZgxYwaWLFkiyskxX375JcrLy/HKK6/YPXuxu1y4rCU8PBxLliyx56FvCcMwUCgUUKlUostWmpubkZOTg5ycHLS0tCAoKAgJCQmIjo4WfJpkR6V9nZ2d4eHhYffSvu3hCl+1l8m1ha+4rMSaha+amppMNum8tsBa+8kCvXv3tsoxLUHsWQ2XzRiNRn62oJiyGYZh8MUXX+Czzz5DQEAAVqxYgZEjRwodlgm1tbVYu3Yt/v73vyMxMdGux7a7XP7880+sX78en332Gfr27WvPQ9+ShoYGtLW1wc/PT5DtTm4Ey7JYvXo1WltbER0djfj4eL7qo9AYjUZcvnwZEonEJDsRww3ghx9+wKJFiyCTyTB8+HCTrMSeha+4LV3aTxYoLy/HgAED8NVXX9ktjptxrWi4ejxigMtmDAYDaJqGm5ubaB76gKvlht944w3k5ubi559/Rp8+fYQOyYS9e/fyYy/2vGdYRS7mvAXLsmhtbbXo5m1Jw5gTG8MwfJVBc7F1bK2trRbv2mvr2HQ6ncXZk7mxmft9Go1Gi7pUbN1mRqOR744zF1vH1hXscY1aKj1bnmtcgTkxfp9cb4K9YuOwyuNlenq6Tdep6PV6aDQaTJw40ezXKpXKG87iuXZLdEuhadqicZnDhw+jV69efCwMw4CmaQCAk5OTVfpIW1tbLUqHFQqFWbOfuC0/Ogv3eX18fMx63Zo1a/jt0VmW5btOAFity6ShoQEzZsww+3VpaWk3LaPLxUpRlMUybmpqwpQpU8x+HcuynTrPO/t71nytXq8361znrpHOwl3n5mY7GzZswJAhQ677dy6LYv9XnVQqlfLZlbnHaGxsxPTp0816DQD89ttvCAoKuu7fuWuCk7BEIuH/zdyHrNbW1i5181lFLhUVFXj00Uet8VbXceXKFWzYsAG9evWySC7c1vfcjZs7MfR6PX9T8vDwMPsm1576+nqL5FJfXw8/Pz80NjaisbERCoWC3xbexcUFffr0QUREBPr27WtxN8BXX31lkVz0er3N9uHSaDRobGyEs7Oz2e1+4cIF9OvXD2VlZSgrK0NlZSXUajUAwNPTEzExMXjkkUe6VGXwhRdesEguZWVlmDt3Lv93g8GA+vp6frFmcXExmpubIZFIMHz4cMyePdvs7rnly5dbJJfO0lW5WPo6Ww02c2UXKIoy+xq6ePEiFi5cCJqmoVAoUFRUhJMnT6KgoABKpRI0TUMulyMkJAQajQYVFRWIjIzE66+/3unP8/LLL1skl/r6ekyYMIHPmOrq6lBWVoby8nI0NzfDYDDwO1oYDAZotVoEBgbikUce6XQG8+WXXwovF4qibHJysCyL9957D4899hjy8/Mtfp+amhowDAPgakYglUrh6urKd81xg7xC7Gacl5cHPz8/9O7dG8OGDeM3jVSpVLh06RK+//57uLi4YMyYMYiKirJrP7gt2oJhGNTU1KBnz55QqVQWxXTw4EEEBwdj+PDhePjhh+Hv7w+WZVFXV4fDhw9jzpw5GD9+PBYsWGDX3QgoioJCoUBxcTG/03FjYyMCAgIwdOhQ/P3vf0dQUBD0ej2+/fZbzJ07F//85z8xevRou8R4q2PQNA2KovgyBfbEVp9fp9NZ/N4URWH79u04efIkysrK4OnpiejoaEydOhV9+vSBk5MTqqurceHCBbi5ueFvf/sbNmzYgFdeeQVr1661+XealZWFCxcu8FPng4KCMHDgQAQGBsLV1RV6vR6tra2QSqXw8vLC8ePH8fnnn9utWqXwo6434fz581Cr1Zg4cWKX5CKXyyGVSuHk5MQ3avsvPigoiJ8+6uLiYteV4U899RQkEkmHJ2JkZCS0Wi2Kiorw66+/4sKFC5g8ebJoBlrNhWVZVFdX8wP/lsgFALZu3QonJ6cO2+y+++5DWVkZ1q9fj8cffxwPPPAAXnvtNbvNqJs/fz48PT0xbNgwPPnkkxgyZAgCAwOvKw8cFxeHH3/8Ee+99x6SkpLwj3/8Q9C1Se27iEVQhcNqGI1GyGQy6HQ6i15fUFCAu+++m99c9NqZj8OHDzdpu8TERIwdOxa//fYb7rnnHqt8hhtRWFiI0NBQjB07lhfKze4N/fr1w5o1a/DDDz/g4YcftmlsACDauxTLsvjggw+waNGiLj8BcPtScTeka9/P2dkZvXr1gl6vh1KpRE1Njd0usBvdJAHw60NGjBiBhQsXory8HN9++63DXvytra3Q6XTo1atX1wYKb1LHnaIohISE4JNPPsH27dtx/vx5PPnkk2b301vKp59+is2bN+PVV1/FhAkT0Lt37w77uiUSCR588EFs27YNdXV1ePbZZ80et7Im155TjnqOtccaY6qffvoppk+fjrCwsBsu+G1/T5HJZNi8eTNefvlli4XWWZ566imMGzcOwcHBndrIVSKRYP78+Thx4gQ0Go1NYwNELJfs7GwwDIPRo0fb5Xiurq4IDAxEr169wDAMv0W7WPD09MT8+fNRUFCAM2fOCB3OLbl2/YTRaERdXZ3dplBTFIUhQ4Zg+/bt0Gg0ePXVV+1ywwwJCen0uh6KotCzZ0989tlnAIA333xTkJs69111lEFf+z06Epysu3K+WdJLEBcXh8TERCxatMimbXejHo+b4eHhgfj4eGzZssXm36so5cKyLFatWoWlS5fad172/+b2BwUFQaVS2e1pt7O4u7tjzpw5OHDgAFpaWoQO56aoVCpUV1dDp9PBYDCgoqICcrnc7gs+XVxcsHfvXvz000/49ddf7XrsziKVSrFp0yb89ddfyMnJsfvxb3WT4aboOxpdmSLfFSiKwoYNG5CZmYnDhw/b/fi34u9//ztqa2tRVFRkW/nZ7J27wOHDh+Hq6ipYFTgnJyd4enqitrZWdBdV3759MXbsWGzevJmfpCA2WJZFfX09XF1dUV1djcrKSnh6esLPz0+QhZ/e3t7Ytm0bFi1aBIVCYffjdwaZTIaVK1filVdesev3eqOshTvvuS1YxHqu3QgufqEW87q6uvKD51xdH7Hg5OSEp556Cl988QVOnTpls3uc6OTCsiw2b96MN954Q9AV6P7+/ibTlcUCRVG499574e7ujm+++UZ08gOursVwdnbmZ8EFBQXB399f0O9z5MiReOyxxzB9+nRRthkAjB07Fj169MDGjRttdoz2K/G5tUbXcu2gPve9ibXdOoL7XEKfc88//zyefPJJQcfTOmLQoEGYNWsWvvnmGxQXF9vkGKKTyw8//ABvb2+EhoYKGgdFUfD397fr4H5noSgK8+bNw+nTp1FdXS10ONehVCr5HYFdXFzg6uoq+FY1FEXh3XffRXV1NQ4dOiRoLDeCoihs2rQJu3fv5ldVWxOue4thGP4P1xXc/vtxRJlwcNLUaDSC77lHURTmz5+PPn364I033hA0lmuhKAphYWGYOXMmdu/ebZPvWlRyYRgGu3btwltvvSX4zQi4OohOUZQoxzfc3NwwefJkbN26VVQ3AS4WMdQ2uRaJRILt27fbvevJHAICApCUlITXX3/dZsfgVm5zUrnVtcb9jljbrD1Go5FfNCmG/e0oikJaWhq+++470fWCAEBYWBhomrbJPU5Ucjlw4AACAgIE3Sm2PRRFoVevXlAoFKIb3AeAmJgYODs74/jx40KHwqNSqSyaxWIvYmNj0bt3b3zyySdCh3JDVq5ciRMnTlj9gm+/4/HNdj/uKHNxhGyGW63OrUwXyzno5eWFQYMGYfXq1UKHch0URSEmJsYmG6iKRi40TSM9PR1vv/22aE4K4OoaGE9PT9F2j82dOxc///yz3eTHbQZ5o581NDSgZ8+edonFEiiKwpdffomUlBR+qx2xwa32fumll6z6vuZupc8N9DsKOp2Or2YppnsIAGzatAk7duwQ3T0EAB566CGUlZVZ/X1Fc+Z88cUX6NWrV6cKNNkbf39/GI1Guyw8MpeAgAD06tULP/zwg82PxRXbKi8v73DRXVVVFdzc3ERd+hUAevXqhZiYGJt2PXWV119/HefOneP3TbM3196c23eNifEGCcDiXabtQe/evcGyLBoaGoQO5Tq4sSlrTzoQhVz0ej2+++470WUtHBRFoUePHqivrxfdhUVRFGbPno3s7GybP4nrdDro9XpQFHXd1i0ajQZ6vR5BQUGi/A6vZevWrfj2228Fu3nfCqlUijFjxuBf//qXIMe/1UC/2K4Da+1wbisoisJDDz0kyrLuFEXB19cXx44ds+r7Ci4XlmXx8ccfY/jw4XYt4GQubm5ucHJyglKpFDqU65DJZAgPD8fevXttdgxuX7DAwEAEBgZe9wRWV1eHgIAA0V7c1+Lt7Y177rkHCxYsEDqUG7JixQocO3ZMkBt5R11onHC4GWdCCubaGLhuYTGff//617+Qk5MjOjEDwLRp0/Dbb79Z9T0FlQvLsjh69CjOnj2LpUuXChnKLeEG95ubm0U5a+bxxx9HSUmJVZ/EuQtYr9ejubkZwNXBSZlMdt0FQtO0qKp3doZ169bh6NGjol5Y6eHhgT/++EPoUHg4wQDCDe5z2+hrNBrodDr+70JPPb4VHh4ekEqlKCkpETqU6+jfvz+MRqNV722CyiUnJwcbN27Em2++Kcqpq9cilUrh5uYmyn5TZ2dnxMXFWXXQsLa2FpWVlaiurkZbWxv69Olj8kTLHUfsXRI3wtXVFdOnT8fTTz8tyqdJAHjrrbewYsUKocMwoX0GI9ReaDRNw93dna/PBAi3Gt8cFixYgEWLFgkdxnVQFAUPDw/k5eVZ7T0Fk0tJSQk++eQTLF26tEuFnexNjx49oFarRTk1+aGHHkJVVRWfZXQVNzc3BAQEoE+fPujdu7fJAwBFUfwEB7HOuuoMK1aswNmzZ/mSC2Jj3LhxUKvVolvhbe21LwaDge/mupWwNBoNXFxcIJFIIJPJLC5lLQTz58/vcEKMGHj88cdx8OBBq72fIHJpbGzEO++8g2effRYjRoxwiJOCQyKRiHbfMScnJ9x5551WW1jp4+MDd3f3Dre49/b2RmNjI4Cr2714eHh0+XhCIJVK+cqTYvs+gf/vjrXleJqlWHPti8FggEaj4bu62sumPZx8uKqSEokE7u7uDtHzAVw93zw9Pa0+vmENQkNDYTQarda1bne5tLa24p///Cfuu+8+3HXXXQ4lFg5u3zGxPU0CwIQJE6BUKlFXV9fl97rZd+Pr68tnLGq1WtSTMW7Fiy++iMrKSpvtsdRVVq5ciZSUFKHDuA5rysXd3Z2XBEVR/NR/bkyFo6M9w8xdvyM0K1euxLJly4QO4zooikJ0dDT27Nljlfezq1yam5uxbNkyREVFYcaMGQ51QrSHoijI5XJRLqxsX4TK1rUkgP+/sZhbn1xMSCQSvPnmm5g5c6bovk8AiIiIgMFgEOXDjLXGXrhxHKlUyleDdXd3B8uyUKvVvFS0Wq3DZCk34u6770Zra6sov88pU6bg0qVLVunutJpc/vOf/yAvLw+XL19GU1MTmpubUV9fj6qqKtTX1+PUqVN4/fXXMWTIEDz//PMOKxYOHx8f0DRt82pzlpCYmAitVovLly/b7BgURcHZ2Rn19fX83x2ZmTNnoqWlBdnZ2UKHch0URaFfv37Yvn270KHYBS4TkUgkcHNzg1QqhUaj4bvJHPlBBrj6+fr06SPK79PFxQUeHh7Izc3t8ntZbXpFbm4uFAoF/5QhkUj4/7IsC4qiMHnyZNx7770OtaXEjaAoCgEBAXzdEjFBURSmTp2K/fv3o0+fPjY7Tu/evXHlyhX4+/vb7Bj2gqIorFq1Ci+99BKio6OFDuc6Vq5ciUWLFmHEiBFCh2ICJwFbTc/ndtbmdjq+WYlrR2LNmjWYP38+4uLihA7lOmbOnIk9e/agf//+XXofq8hFKpVi3LhxoGkaWq0WbW1toGkarq6ukEqlMBqNcHd3h0wms3iqm6XbwlAUZbNV2BKJBD4+Phant05OTigqKrJyVFdxdnbG2LFjLV7DQVEU2trabvl7fn5+cHZ27tTvXoslU0ednZ3x+++/m/26zuDm5ob58+ejoqLCotc7OztbfZVze+bOndulEgu27PLr6g3/VteQVCrld3K25Hqz5IHW2dkZR44cMft1nWXBggUWz1KUSqU4f/68lSP6f+66664uLxinWCucceZ0DXF9qObOLuI2pDMXc56ouPnz5t70LB1QtMcW3JZuPW5Ou1laTtaSdjOnzgnLstDr9WbHJpFILOrXNyc27rs395x2cnKy6Dow5zLnehoswZLX2Wucy5bnGvf75u5tZum5Zs69g6ZpaDQaeHp6mnWMrpYtsIpczKG+vh6lpaWQy+Xo27evqFZ1NzU1QaPRIDAwUHSDhjRNQ61WQyaTwcnJSehweFpbW9HY2IiAgADRTEfmHmBaWlpgMBjQu3dv0S2wq6yshFKphFwuF935RtO0yUp8McHtGiGmsg5cWW+VSoXg4GDRjAkZjUZUVlaioqICUqkUiYmJdm0zu589AQEBYFkWqampmDt3LlasWGHT9M4c5HI5JBIJampqRLcwsLa2Fh999BFqa2uFDoVHpVKhtraW36ZEaGiaxrfffot7770Xw4YNw/Lly9HU1CQ6sQBXuxNzc3Mxd+5cjB8/Hh988IFoqoq23z9MbDAMYzJ7TGgYhsG//vUvjB8/HmfPnhWFWHQ6HQ4fPowPPvgAaWlpaGxsxJAhQ+wuY7tnLhwsy+LEiRPYv38/rly5gujoaEybNg1DhgwRIhwehmFQW1sLg8GAXr16ieaJsqqqCps2bcLChQtFUUxNpVKhrq4O3t7egpdJoGka33//PdauXYtLly5hwoQJWLx4MYYPHy5oXJ1Bo9HgwIED2L17N1paWvC3v/0Ns2fPFvw75uQitgxGTBk8J5aDBw/igw8+wEMPPSRoPFqtFsePH8fRo0eh1+uRkJCAO++8Ez4+PoLEI5hcOFiWxcmTJ7F//35cvnwZw4YNw7Rp0xAZGSlYTGIUjJjk0tLSgvr6esHFQtM0Dh48iHXr1qGsrAx33303XnzxRURFRQkWk6VoNBp8/fXX2LVrF1paWvDAAw9gzpw5Np3tdyvEKBixyIWmabz55ps4ePAg/v3vf+Nvf/ubYLFotVpkZGTg6NGjMBqNvFS8vb0FiwkQgVw4WJZFVlYW0tPTUVZWhqFDh2LatGkYOnSoIPG0F0zPnj0Fn24sFrlwYvHx8UFAQIAgMdA0jW+++Qbr16/H5cuXce+992Lx4sUYNmyYIPFYE61Wi2+++QY7d+6EUqnkJdO3b19B4hGbYMQgF5qm8cYbb+D777/Hhx9+iAcffFCQOLRaLY4dO4Zjx47BaDQiMTERd9xxh+BS4RCNXDg4yezfvx+XLl1CZGQkLxl79xmKSTBikIvQYjEajbxUrly5gokTJ2Lx4sWCPYDYEq1Wi2+//RY7d+6EQqHA/fffjzlz5qBfv352j0VMghFaLjRNY/ny5Th06BA++ugj3H///XaPQaPR4NixY8jIyIDRaMTIkSNxxx13iGpyFCBCuXCwLIucnBykp6fj4sWLiIiIwGOPPWZ3yYhFMELLRUixGI1GHDhwABs2bEB5eTnuu+8+LF68GBEREXaNQwh0Oh0vmaamJkyaNAlz585FcHCw3WMRwywyIeVC0zT++c9/4qeffsLHH3+M++67z67H12g0OHr0KDIyMsAwDEaOHIlx48aJTiocopULB8uyyM3Nxb59+3Dx4kUMGTIE06ZNQ1RUlN0kIwbBCCmX5uZmNDQ02F0sBoOBl0pFRQXuv/9+LF68WPBJH0Kg1+tx8OBB7NixA42NjZg4cSLmzJmDAQMG2DUOoQUjlFzai+WTTz7BpEmT7HZstVrNZyqcVO644w6z163YG9HLhYNlWeTl5SE9PR2lpaUYPHgwpk2bhujoaLtIhmEY1NXVQa/XCyIYoeTCiUUul9ttmxeDwYD9+/djw4YNqKqq4qXiSHV/bIVer8d3332HHTt2oL6+HhMnTsTcuXPtKhkhBSOEXGiaxmuvvYZffvkFn376KSZOnGiX47a1tfFSYVkWo0aNwrhx40QvFQ6HkQsHy7I4deoU0tPTUVJSgvDwcEybNg3Dhw+3uWSEFIwQcrG3WPR6PdLT07Fx40ZUV1fjwQcfxKJFixAeHm7zYzsaer0e33//PXbs2IG6ujrcc889mDdvHkJCQuxyfK5YnhBdU/aUC03TWLp0KX799Vd89tlnuPfee21+zLa2Nhw9ehTHjx8HAIwePRpjx44VxVoyc3A4uXCwLIvTp08jPT0dxcXFCAsLw7Rp02xefEwowdhbLvYUi16vx759+7Bx40bU1NTgoYcewgsvvICwsDCbHrc7oNfrcejQIWzfvh21tbW45557MHfuXISGhtr82EIIxp5yMRqNePXVV/Hf//4Xq1atwj333GPT47W1teGvv/7CiRMnADiuVDgcVi4cLMvizJkzSE9PR1FREQYNGoRp06YhJibGZpJhWRa1tbXQ6/Xo0aOH2fsJWYI95WIvseh0Onz11VfYtGkT6urqeKkMGjTIZsfsrhgMBhw6dAjbtm1DbW0tJkyYgHnz5mHgwIE2Pa69BWMvuRiNRvzjH//A77//jtWrV2PChAk2O1ZraysvFYlEwktFJpPZ7Jj2wOHlwsGyLPLz85Geno7z589j4MCBmDZtGmJjY20iGU4wOp0OPXv2tLlg7CUXpVKJxsZGm4pFp9Nh79692LRpE+rr6/Hwww9j0aJFdnna7u4YDAb8+OOP2LZtG6qrqzF+/HgkJyfbVNj2FIw95NJeLGvWrMH48eNtchyVSoW//voLJ0+ehEQiQVJSEsaOHQt3d3ebHM/edBu5cLAsi7Nnz2Lfvn0oLCxEaGgopk2bhri4OKtLxp6CsYdcOLH4+vrapGyxVqvF3r178fnnn6O+vh6TJ0/GCy+8YLdxgtsJo9GIn376CVu3bkVVVRXGjx+PefPm2ayr0V6CsbVcDAYDXnnlFfzxxx82E4tKpcKff/6JzMxMSCQSjBkzBmPGjOk2UuHodnLh4CSTnp6Oc+fOISQkBFOnTkVCQoJVJWMvwdhaLrYUi1arxRdffIHPP/8cTU1NvFTsPY32dsRoNOLnn3/Gtm3bUFFRgTvvvBPz5s2zycw7ewjGlnIxGAx4+eWX8eeff2LNmjW46667rPr+KpUKR44cQWZmJqRSKcaMGYOkpKRuJxWObiuX9pw7dw7p6ekoKCjAgAEDMG3aNKtKhmVZ1NXVQavV2kwwtpSLrcSi0WiwZ88epKSkQKFQYMqUKXj++ee7XOGOYD40TePnn3/G1q1bUVFRgXHjxuGZZ56xumRsLRhbycVgMGDJkiX466+/sG7dOtxxxx1We++WlhYcOXIEWVlZkEqlGDt2LJKSkuwyViskt4VcONpLpn///pg6dSpGjhxpFcnYWjC2kostxKJWq3mpKJVKTJ06Fc8995wgq8oJptA0jV9//RVbtmxBeXk5xo0bh+TkZKsuTLWlYGwhF71ejyVLluDYsWNYt24dxo0bZ5X3bS8VZ2dnPlPp7lLhuK3kwnH+/Hmkp6fjzJkzCA4OxtSpUzFq1KguS8aWgrGFXBQKBZqamuDn5wdfX98uv59arcbu3buRkpKC5uZmTJ06Fc8//7wg+2ERbg4nmW3btuHy5csYM2YMkpOTrbYbua0EY2256PV6vPTSS8jIyMD69esxduzYLr9nc3MzLxUXFxc+UxF681t7c1vKhaOoqAjp6ek4ffo0+vXrh6lTp2L06NFdkkx7wfTo0cNq/anWlos1xaJWq7Fz505s3rwZKpUK06ZNw3PPPSfYTr6EzsMwDP7zn/9g69atKCsrQ1JSEpKTk62yGagtBGNNuej1erz44os4fvy4VcSiVCpx5MgRZGdnw9XVFWPHjsXo0aNvO6lw3NZy4SguLkZ6ejpOnTqFvn378pKxdHsLWwjGmnKxllja2tqwc+dOpKamQqVSYfr06Vi4cKGgNUgIlsEwDH777TekpaWhrKwMo0ePRnJycpfLGFhbMNaSi06nw4svvoiTJ09i/fr1GDNmjMXvpVQq8ccffyAnJweurq4YN24cRo0addtKhYPIpR3FxcXYv38/8vLy0KdPH0ydOhVJSUkWScbagrGWXKwhltbWVuzYsQNpaWloa2vjpSJ0ETNC1+Eks3XrVly8eBEjR45EcnIyoqOjLX5PawrGGnLR6XRYtGgRsrKysHHjRowePdqi91EoFPjjjz+Qm5sLNzc3XipiKC4oBohcOqC0tBTp6enIzc1F7969MXXqVIwZM8ZsybAsi/r6emg0mi4LxhpyaWpqgkKhsFgsra2t2L59O9LS0qBWq/HEE09g4cKF6NWrl0XxEMQLwzA4fPgwtmzZggsXLiAxMRHJyckWl462lmC6KhdOLNnZ2di4cSNGjRpl9ntwUsnJyYFMJsO4ceMwcuRIIpVrIHK5CaWlpdi/fz9ycnIQFBTES8ack9pagumqXDix+Pv7Qy6Xm/ValUqF7du3Y8uWLdBoNHj88ceJVG4TGIbBkSNHkJqaigsXLiAhIQHJyckYMWKE2e9lDcF0RS5arRaLFi1CTk4ONm3ahJEjR5r1+qamJhw+fBh5eXmQyWS44447kJiYSKRyA4hcOsHFixeRnp6O7OxsBAUFYcqUKRg3blynT25rCKYrcrFULC0tLdi2bRu2bt0KnU6HJ554AgsWLEDPnj3NjJ7g6HCS2bJlC0pKShAXF4fk5GTExsaa9T5dFYylctFqtXjhhReQm5uLzz//HImJiZ1+bWNjIw4fPoxTp07Bw8ODl4qzs7MlH+G2gcjFDC5duoT9+/cjMzMTPXv2xNSpUzstma4KxlK5WCKW5uZmbN26Fdu2bYNer8eMGTPw7LPPokePHmbFTOh+MAyDv/76C2lpaSguLkZsbCyeeeYZsyTTFcFYIhetVovnn38eeXl5SElJQUJCQqded61U7rzzTiQkJBCpdBIiFwsoKytDeno6L5kpU6bgzjvvvOXJ3l4wgYGBZu16aolczBWLUqnkpWI0GnmpBAYGdjpOwu0By7I4evQoUlNTUVRUhJiYGCQnJ3d6Dz9LBWOuXLRaLRYuXIgzZ84gJSUF8fHxt3xNQ0MDLxVPT08iFQshcukCZWVlOHDgAE6cOIEePXpgypQpuOuuu2560lsqGHPl0tjYCKVS2SmxKBQKXio0TWPWrFmYP3++XUsaExwTTjJpaWk4f/48hg8fjuTk5E5tr2SJYMyRi0ajwXPPPYczZ85g8+bNiIuLu+nv19fX4/Dhwzh9+jS8vLx4qUil0k7HR/h/iFyswJUrV7B//34cP34cgYGBvGRudFKyLIuGhgao1epOC8YcuXBiCQgIgI+Pzw1/T6FQIC0tDdu3bwfLsrxU7FXOmNB9YFkWGRkZSEtLw7lz5xAdHY1nnnnmlpIxVzCdlYtGo8HChQtRUFCAzZs337Tbrq6uDocPH8aZM2fg7e2NO++8E/Hx8UQqXYTIxYpcuXIFBw4cwPHjx+Hv748pU6Zg/PjxHZ6k5gqms3LpjFgUCgVSU1OxY8cOAOClYott9gm3FyzL4vjx40hLS8PZs2cRFRWF5OTkm+7hZ45gOiMXtVqNBQsW4Ny5czcVS11dHX7//Xfk5+fD29sbd911F+Li4ohUrASRiw0oLy/HgQMHkJGRAT8/P14y1/bZmiOYzsjlVmJpamrC5s2bsWvXLgDA008/jWeeecYq+4oRCO1hWRYnTpxAWloaCgoKMHToUCQnJ99we6XOCuZWclGr1Xj22Wdx/vx5bN68GTExMdf9Tm1tLX7//XcUFBTAx8cHd911F2JjY4lUrAyRiw2prKzE/v37cezYMfj5+eGRRx7BhAkTTCTTWcHcSi43E0tjYyNSUlKwe/duUBSFOXPmYN68eUQqBJvDsiwyMzORlpaGM2fO3FQynRHMzeTS1taGZ599FkVFRUhNTb1uLU5NTQ0OHz6M/Px8yOVyjB8/HrGxsXYr0Xy7QeRiByorK3HgwAEcPXoUvr6+eOSRR3D33XfzkuEE09bWhsDAQHh4eJi8nit8lpKSgmeffRZDhw41uTAbGhrQ3Nx8nVgaGhqwefNm7N69GxKJBHPmzMHcuXOJVAh2h2VZZGVlIS0tDadPn0ZERASSk5MxZswYk3OZYRiwLNvhDZ/bUqm+vh6BgYHo0aMH/1pOLMXFxUhNTTXZSaCmpobPVHx9fflMhUjFthC52JGqqiocOHAAf/31F+RyOSZPnox77rkHLi4uHQpGqVRix44dWLduHS5cuMC/z8CBA7Fo0SI8/fTTMBqNaG5uRmBgILy9vQFcnfWSkpKCPXv2QCqV8lIxd2U+gWBtWJZFdnY20tLScOrUKQwZMgTJyckYO3YsL4prBXOr6+DRRx/Fa6+9htLSUqSlpSEqKgoAUF1djd9//x1nz56Fr68vJkyYgBEjRhCp2AkiFwGorq7mJePj42MimYaGBrS2tuL06dOYMWMG1Go1gKsXJQd3Ebq7u2P9+vV49NFH4e3tjbq6Onz++ef44osv4OLigrlz52LOnDk3nTFGIAgBy7LIzc1FWloacnNzMXjwYCQnJ2PcuHGgKIoXzH//+188+uijN7wOOAkNGjQI+/fvx7Bhw1BVVYXff/8d586dg5+fH8aPH0+kIgBELgJSU1ODAwcO4M8//4S3tzf+/ve/495778XBgwfxxBNPgGVZ3OzroSgKFEVhz549KCoqwpdffglXV1deKlwmQyCImdzcXKSmpiI3Nxfh4eGYN28e7rjjDvzyyy/429/+dsvrAAAkEgl27doFmqZRWFgIf39/XiqWls4gdA0iFxFQW1uLr7/+Gn/88QdcXV2xb98+6HS6Tr+eoihERkbi2WefxezZs+Hl5WXDaAkE25CXl4e0tDRkZ2cjODgYP/zwA7RabadeS1EUpFIp3nzzTTz44IMYPnw4kYrAkNYXAT179sTChQuxdu1aaDQas8QCXO0qeOqpp7Bo0SIiFoLDEhMTgw0bNiAlJQU1NTWdFgtw9RowGAzw9PRETEwMEYsIIJmLiGBZFmFhYSaDlp2BoiiEhoaipKSkSyWaCQQxQK6D7gGRi4hoaGjo0iaRDQ0NZOsWgsNDroPuAckdRURra2uXXq9SqawUCYEgHOQ66B4QuYgIT0/PLr2ejLcQugPkOugeELmICH9/fwwcONDs/mKKojBw4ECy8SShW0Cug+4BkYuIoCgKixYtsui1ixcvJoOYhG4BuQ66B2RAX2QolUr07dsXGo0GDMPc8vclEgnc3d1RUVFBtnchdBvIdeD4kMxFZMjlchw4cAAURd1yrr5EIgFFUfj666/JBUXoVpDrwPEhchEhkyZNwqFDh+Du7s5v8dIe7t/c3d3x448/YuLEiQJFSiDYDnIdODZELiJl0qRJqKiowOrVqxEaGmrys9DQUKxevRqVlZXkgiJ0a8h14LiQMRcHgGVZNDU1QaVSwcvLC35+fmTQknDbQa4Dx4LIhUAgEAhWh3SLEQgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCwer8H/GdLen6emJLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import KAN, create_dataset\n",
    "import torch\n",
    "\n",
    "model = KAN(width=[2,5,1], grid=5, k=3, seed=0)\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x) # forward is needed to collect activations for plotting\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3e6d104",
   "metadata": {},
   "source": [
    "Case 1: Initialize all activation functions to be exactly linear. We need to set noise_scale_base = 0., base_fun = identity, noise_scale = 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "90d2d5de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, base_fun = 'identity')\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x) # forward is needed to collect activations for plotting\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d834a51",
   "metadata": {},
   "source": [
    "Case 2: Noisy spline initialization (not recommended, just for illustration). Set noise_scale to be a large number."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a23d4e55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZMwZhYWFENt0YIpduhkql4mWSmZmJc+fOgWEY9OjRw0QmYhmM5coK63Q6uLm5QS6Xi04qHGKUC4dCocCOHTuwe/duMAyDJ598EnPnzhXFtv1tbW3IysriF3WeOnUKRqMR/v7+JrPRwsPDRXFOEqwDkYuDo1KpkJ2dzWcmhYWFYBgGPXv25MdLEhISEBwcLKoL15GkwiFmuXAolUpeMjRN44knnsDcuXNFtV2/Wq3mZZORkYG8vDwYDAb4+fmZZDaDBw+26zgfwboQuTgYzc3NyM7O5mdznT9/HizLolevXiYyEeuaBLVaDYVCAb1e7zBS4XAEuXA0Nzdj586d2LVrF4xGI6ZPn4558+YhICBA6NCuQ6PRIDs7m5+NlpOTA4PBAF9fX76WTVJSEiIiIohsHAgiF5GjVCqRk5PDd3MVFRWBZVkEBQVh5MiRfDdXnz59RCkTjmul4uvra1Kd0RFwJLlwtLS08JLR6/W8ZMRcC0ar1SInJ4df1Jmdnc2vrRo1ahQ/Gy0yMpLIRsQQuYgMhUJh0s1VVFQEAOjbty8vkoSEBIfZB6qtrQ1KpdKhpcLhiHLhUKlU2LlzJ3bu3Am9Xo9p06YhOTnZIWrAaLVa5Obm8mM22dnZ0Ov18PHxwahRo/jMZujQoTbZFYJgGUQuAtPY2GjSzcVtl96vXz9eJAkJCQ53M2svFXd3d8jlcoeVCocjy4VDpVJh9+7d2L59O3Q6HS+Znj17Ch1ap9HpdLxsMjIykJWVBZ1OB29vb4wcOZJf1GluDSCCdSFysTONjY18VpKZmclXFQwODjaZzeWohZ66o1Q4uoNcOFQqFfbs2YPt27dDo9Fg2rRpeOaZZxxKMhx6vR55eXm8bDIzM6HVauHl5YWRI0fymU1UVBSRjR0hcrExDQ0NvEiysrJ4mQwYMMCkm8sRL+r2dGepcHQnuXC0trbiiy++wLZt26BWq/Hoo49i/vz5DvtwA1wtSJeXl8cv6szMzIRGo4GnpydGjhzJz0aLiorqVKlsgmUQuViZuro6ZGVl8UK5dOkSgKuFmtp3czlCX3dnaGtrg0KhgMFggLu7O3x9feHq6ip0WDahO8qFo62tjZdMa2srL5nuUL3SYDDg9OnT/Gy0kydPQq1WQyaTmWQ2w4cPJ7KxIkQuXaS2ttakm+vy5csArpaYbS8TMU4B7Qqtra1QKpW3hVQ4urNcONRqNS8ZlUqFKVOmYP78+d3q83KltjnZnDhxAm1tbZDJZEhISODHbGJiYohsugCRi5nU1NTw04KzsrJw5coVAMCgQYNMurnEtGjNWrAsy3d/GQwGyGQyyOXybi8VjttBLhxqtRp79+7F1q1b0dzcjEceeQTz589H3759hQ7N6hiNRuTn5/NjNidOnEBrayvc3NyQmJjIZzYxMTFwcXEROlyHgcjlFlRXV5vIpLy8HAAQFhbGiyQ+Pr5byoTjdpcKx+0kFw6NRoO9e/diy5YtaG5uxuTJkzF//vxuXaXSaDSioKDARDYqlQqurq4mmU1cXByRzU0gcrmGyspKk26uyspKAMDgwYNNZCLE7rP2hkjFlNtRLhxarZaXjFKpxMMPP4wFCxZ0a8lw0DSNs2fP8utsTp48iebmZri6uiIuLo5f1BkXF3fbXhsdcVvLhWVZVFRUmMzmqqqqAkVRvEwSExMRFxdn13oZQsOyLFpbW9Hc3MxLxdfX97Z/Srud5cKh1Wqxb98+pKWlQaFQ4KGHHsKCBQsQHBwsdGh2g6ZpnDt3jp+NduLECSiVSri4uCA+Pp6fjRYXF9ftZkyaw20lF5ZlUV5ezsskMzMTNTU1oCgKQ4YM4WUSHx8Pb29vocO1O5xUlEoljEYjkco1ELn8P1qtFunp6UhLS0NjYyMvmf79+wsdmt1hGAaFhYV8N1pGRgaUSiWcnZ0RFxfHj9nEx8c7zD561qBby4VlWVy5csWkm6u2thYSiQQRERH8AHxcXNxtKROOa6Xi4eEBuVxOpHINRC7Xo9PpsH//fqSmpqKhoQEPPvggFixYgJCQEKFDEwyGYVBUVMTvjXb8+HE0NTXB2dkZMTExvGwSEhIEr65qS7qVXFiWRVlZmUk3V11dHSQSCYYOHcrLJDY2Fl5eXkKHKzhEKuZB5HJjdDodDhw4gNTUVNTX1+OBBx7AggULEBoaKnRogsMwDIqLi00ym8bGRkil0utk4+HhIXS4VsOh5cKyLC5dumSSmTQ0NMDJyek6mXh6egodrmggUrEMIpdbo9frceDAAWzevBl1dXV44IEHsHDhQiKZdrAsi5KSEn6dzbFjx9DQ0ACpVIrhw4fzsklMTHTo+5ZDy8VoNCIxMRF6vR7Dhg0zkUl3egKwNkqlEgqFAh4eHvD19SULxToJkUvn0ev1+Oabb5CSkoLW1lYcOXLkthpvMAeWZVFaWsrPRjt+/Djq6urwxhtvYNGiRUKHZzGilMvGjRsRHh5+09/R6/WQSqUwGAxwdnY2u66DQqHAtGnTuhKmqOAGEDsDy7KgaRpOTk5m1YBhGKbbdScePny40/u6tba2Ijs7G/Hx8SZPlNw5eCPUajXi4+O7HKtY2LRpE8LCwjr1uyzLQq/Xw9XVFRqNBm5ubp0657rb9QkAn376KSIiIjr1uzRNg6KoDu9rRqMRADrchLOpqQkzZ87sWqBWQpRbhJaWluKZZ5657t9pmkZLSwsyMjKwd+9e+Pr64p133rFozcmrr77arU5err5FZ9HpdGhsbETPnj07XQOjvr6+28mlvr4ed9xxR6d+l2EYhIeHw8PDAxKJBCzL4ujRozh79iwefPDBG675SE9P71ZyKS0tRXJy8nX/zrLsDcVx6NAh7NixA6Ghofj3v/99y2N0t+sTAIqKirB48WKLX6/X6/HXX39h165dAIAvvvjiut9ZsGABkcvNoCgKarUaLS0tqK+vx+XLl1FSUoLS0lKUl5fDzc0N06dPR15eHp566il88803JOUGOp2FsCyLuro6uLi4oKGhwaF3wLUGnZWrk5MTv95Jq9Xihx9+wOXLlzF27Fjs2bMHy5cvt2GU4oGiKDg7O4NhGFRXVyMjIwP5+flobm6Gj48P4uPjMWrUKL7a5XfffYf33nsPK1euxHvvvYcvv/wSTz31lMCfwv5w7WYuLMvi9OnTeOedd1BeXo7HH38cn376KaqqqkQ99VuUcgGAWbNmQafTwdnZGQEBAQgJCcH48eMRHh6OIUOGQCaTYdq0aZg/fz4WLFiAbdu2kZKnnUSn04FhGAQGBvLb2RBuDcuyYBgGly5dwi+//AJ3d3c888wz8PLywqFDh6BUKiGVSh16ELazHD58GIcOHcKpU6fQu3dvjBgxAgMHDkR9fT327t2L9evXY+TIkXBzc8M333yDDRs2IDExEf3798e0adMwa9YsUZflFgsMw2DPnj1YsWIFZs2ahc8//xw9evRASUkJXn31Vezbt0/oEG+IaOXyxhtvoEePHpDL5ZDJZHB2dr7uZHRycsLGjRtx//33Y9WqVXj55ZfJCXsLuKzF39+fl/HNujNuBzoaduT+jWEYGAwGqFQqXLlyBWfPnkV9fT0SEhKQlJTEP4n6+/tj8+bNcHNz61LXh6Pw6aefYvz48Zg9ezbCw8P565NlWeh0OuTl5eHo0aNobm5GamoqRowYAYqiEB4eDplMhl9//RWTJk0S+mOImtbWVrz99tv46aefkJKSgrvuuou/TpctW4ZRo0YJHOHNEa1cEhMTO/V7rq6u2L17N+6//37ExMRgwoQJNo7MsWEYBgzDwNPTkz9RGYa5rWuP/+c//+GzEoZhQNM0DAYDdDod1Go1NBoNjEYjvLy8EBERgb///e/w8fExEfKsWbNw5MgR5OXlCfhJ7MeePXvg7e193UMJRVFwc3PD6NGj+Ztf+9+hKAoff/wxlixZgokTJ97WDzU3wmg04sSJE3jzzTfh4eGBH3/8EcHBwSZtFRwcDIZhRP1gKFq5mEPv3r2xevVqLFmyBDt37kRUVJRoG1xo6uvrIZPJ+PaRSCRQq9XdbqDeHLRaLSQSCSQSCZycnODi4gJvb2+4urrCw8MD3t7e8PHxgaenJ6RSaYfnlp+fHyZPnoy8vDyoVCq4uLh0600MOzN55EbX4NixY6HRaKBUKm+LDWBvBcuy/NqzvLw8bNmyBadPn8bs2bOxYMGCDseTubY1GAyiXZ/WLeQCAHfddRdeeeUVzJs3D2vXrsXo0aOFDkl00DQNrVZrssmgTCZDa2vrbS2Xhx56qMN/N/cBhaIouLi4ICUlBT4+Ph3OeCRcbadJkybhlVdewdatW4UOx65wO4wrlUrU1NSgoqICV65cwZUrV1BQUACdTof77rsPK1asuC5buZYePXrgq6++wqxZs+z4CTpPt5ELRVGYOXMmvL298dxzzyEjI4PMIGsHy7KoqamBp6enycQHDw8P1NXVCRiZ8Fgzy33ggQeQk5OD8vJyUXdZCM17772HhIQEGI3GDtdrdFcefvhh0DQNo9EINzc3BAQEoE+fPggJCcHkyZMRExMDf3//Tp03q1evRnJyMmbMmCHKyUzd6lulKAoPP/wwvvvuO/zjH//Ahg0bhA5JFLAsC4VCAZZlrytq5urq2uGANsEyYmJiEBUVhRUrVhC53ASZTIYBAwZgw4YNePHFF4UOx2589NFHfF0kuVwONzc3flKIuefKhAkT4Onpid27d4tyarf4dNdFKIrC2rVrcfjwYajVaqHDERSWZWE0GqFUKqFSqdCrV68OB2AJ1qP9WobW1laBoxE3mzZtQlpa2m31cDNq1ChER0cjODgY3t7ecHFxAUVRFl2HFEVh1apVeOedd2wQadfpdnIBrnb1jBkzBkuXLhU6FEHgpoM2NjaiuroaOp0OvXr16rD7gcjFNnh6eqKkpEToMERNv3794O3tjW+//VboUByW8ePHi/YhplvKBQBWrVqF33//HXq9XuhQ7AbDMGhra0NtbS0/jhIYGIiePXvecubS7fT0aA9CQ0Nx9uxZocMQNVwvw7vvvkvOPwvhlhCIsf26rVw8PT0xYsQIvPXWW0KHYjeqq6uhVCrh5uaGXr16wd/fv9MbBTIMY4cIbx8iIiJQUVEhdBiiJzY2FkajkewU0UW4zSzFRLeVCwBs2LABBw8ehMFgEDoUuyCXy9GrVy/4+Ph0uKPBjaAoCjqd7qa/I8YnIzETHBwMrVYrdBiih5vleTsN6lsbqVQqyi7Ybi0XX19fDB48GB9++KHQodgFDw8Ps7fRB67OGGtra7vhz1mWRUtLS1fDu60g9YQ6z0svvYTi4mLyAGMh4eHh+Oabb4QO4zq6tVwAICUlBV9++aUo00ax4OHhcdOn7La2NjQ3N9sxIseHTJToPK6urnB2dkZhYaHQoTgkkydPxg8//CB0GNfR7eUSGBiI4OBgrFu3TuhQRIu7uztomr7hzxUKBdmmw0w4uZCn8c4xd+5cvPbaa0KH4ZA89NBDuHz5stBhXEe3lwtFUUhNTUVaWtpNb6C3M9duWsnNOuNujDRN3xbbyBOEY/78+bh48SKRsQX0799flPe2bi8XAOjTpw+CgoKQmpoqdCiih9smpr6+HjRNk4u9i9xqogThKtysxsbGRqFDcTjal84QE7eFXLjsZf369WTKbQe078IxGo3Q6/Xw8vJCbW0t2traIJFIyBiCBUilUtTU1AgdhsNw55134u233xY6DIejfekMMXFbyAUABgwYgICAAOzYsUPoUEQLwzBobGyEh4cH/Pz8YDAY0NTUdN1+ZITOERAQgKKiIqHDcBjefvtt/PHHH6J7AncEnJ2dUVxcLHQYJtw2cqEoCps3b8Znn30mOsOLAWdnZzQ3N0Or1cLPzw8URcHPzw/Ozs6QyWRCh+eQDB48WJTrD8RKQEAAWJaFRqMROhSHY8SIEaIrX3DbyAUAwsLCIJfL8dVXXwkdiugIDAzk17JwfbheXl4dbnZJ6ByDBw8mYwhmQFEUoqOj8dFHHwkdisPxzDPP4Pvvvxc6DBNEKxeuOps1/wBXd2Lds2ePwJ/ONnSlbZydneHi4sJ3gbXvmmjfft0RW5xrLMuiR48e3bYIm63a7OOPP0ZWVpbQH89m2Krd7r77btHN6BRlPRdfX1/89ttvNnv/OXPmoL6+3mbvLwROTk5dLjHA1US/0fuItZxqV5DJZDZdvHfHHXeIdtdaS5HL5Ta9PufNm9ctC9j5+fnhp59+stn7v/TSS6K6r1GsCB9J7bGanqKo69Z3ODL2+hq7WxeZPdYHUBQlykqBlkKuT8u43dpNlHIxB4ZhYDAY4Ozs3K0uYFvCsizfZt1NFraEpmmo1WrIZDLRXMBih2EY6PV6uLi4kOvTDLhlAVKp1GGvUYf/ts+fP48RI0bg/PnzQofiMBgMBlRWVt42u0Vbi9raWnz00Ueora0VOhSH4fz584iNjSXXp5nk5+ejb9++yM/PFzoUi3F4uRAIBAJBfBC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqOLRcWJaFQqGAwWCAQqEAy7JChyR6WJZFQ0MDKioq0NDQQNqsk7Asi6amJiiVSjQ1NZF26wTk+rQMrt1omnbsdmMdEIVCwa5evZodOHAgC4D/M3DgQHb16tWsQqEQOkTRQdrMMki7mQ9pM8vobu3mcHL5+eefWQ8PD5aiKJaiKJMvgfs3Dw8P9ueffxY6VNFA2swySLuZD2kzy+iO7eZQcvn5559ZJycnViKRmDT+tX8kEgnr5OTkUF+ErSBtZhmk3cyHtJlldNd2o1jWMTr0lEol+vbtC41GA4Zhbvn7EokE7u7uqKiogFwut32AIoS0mWWQdjMf0maW0Z3bzWEG9Hfs2AG1Wt2pLwAAGIaBWq3Gzp07bRyZeCFtZhmk3cyHtJlldOd2c4jMhWVZhIWF4eLFi2bNnKAoCqGhoSgpKQFFUTaMUHyQNrMM0m7mQ9rMMrp7uzmEXBoaGhAYGNil1/v7+1sxIvFD2swySLuZD2kzy+ju7eYQ3WKtra1der1KpbJSJI4DaTPLIO1mPqTNLKO7t5tDyMXT07NLr/fy8rJSJI4DaTPLIO1mPqTNLKO7t5tDyMXf3x8DBw40u3+RoigMHDgQfn5+NopMvJA2swzSbuZD2swyunu7OYRcKIrCokWLLHrt4sWLRT3oZStIm1kGaTfzIW1mGd293RxiQB/o3vPBbQVpM8sg7WY+pM0sozu3m0NkLgAgl8tx4MABUBQFieTmYUskElAUha+//lr0X4AtIW1mGaTdzIe0mWV063az95YAXaWze/D88ssvQocqGkibWQZpN/MhbWYZ3bHdHE4uLHt199A1a9Z0uHvomjVrWKVSKXSIooO0mWWQdjMf0maW0d3azSHlwsEwDPvbb7+xANjffvuNZRhG6JBED2kzyyDtZj6kzSyju7Sbw4y5dARFUXzfo1wuF/3sCTFA2swySLuZD2kzy+gu7ebQciEQCASCOCFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1SFyIRAIBILVIXIhEAgEgtUhciEQCASC1XFYubS2tqK4uBj5+fkAgJqaGuj1eoGjEj+tra24fPkyAKCwsBDl5eWk3W6BwWBAZWUlCgsLAQAXLlxAU1MTGIYRODJxQ8418+lO9zWKZVlW6CDM4eLFi0hLS8N3332H8vJyGAwG6HQ6eHt7IyYmBk8//TSmTJkCLy8voUMVFe3b7fLly9BoNHBxcYGHhweioqJIu3WAUqnEgQMHsGfPHpw9exYqlQp6vR5ubm4IDAzEuHHjMG/ePIwZMwZSqVTocEUDOdfMpzve1xxGLjRN48svv8SyZcug0Whw//33495770VwcDAYhkFpaSl++uknHD58GLGxsVi3bh0iIyOFDltwSLtZxvHjx7FkyRKcOXMGCQkJePDBBxEdHQ1PT08olUrk5OTg+++/R2lpKaZPn4733nsPgYGBQoctKORcM59u3WasA0DTNLthwwbWw8ODvf/++9nTp0+zRqORzcjIYNesWcOuWbOGLSwsZPV6PXvkyBE2Pj6eHTx4MJufny906IJC2s0yfvnlFzYoKIgNCwtj9+/fz6rValapVLKff/45u2bNGnbbtm2sRqNhW1pa2M2bN7O9e/dm7733Xrampkbo0AWDnGvm093bzCHkcvjwYVYul7NTp05lm5qaWIZhWJZl2TfeeIMFwAJgd+3axbIsyzIMw16+fJlNSkpix44dyyoUCgEjFxbSbuZTVFTEhoSEsMOGDWMLCgr4Nrtw4QLr4+PDAmBDQkLYpqYmlmWvttuff/7J9u3bl505cyar1WqFDF8wyLlmPt29zUQ/oK/RaPDuu++iZ8+eWLVqFeRyOSiKuuHvUxSFfv36Yd26dSguLsbu3bvtGK14IO1mPjRNY+XKlVAoFFi/fj0iIyNv2mbA1XYbO3YsPvroIxw8eBA///yznaIVD+RcM5/boc1EL5ecnBycOHECzz33HPr06XPLix24+kWMGDECjz32GLZv3w61Wm2HSMUFaTfzKS0txffff48pU6Zg7NixnWoz4Gq7TZ48GaNGjUJqaiqMRqONIxUX5Fwzn9uhzUQ/xeWPP/6Aq6sr7rnnHhQWFppcuLW1tfz/X7lyBWfOnOH/LpfLMXnyZOzevRtlZWWOMwhmJUi7mU9GRgZaW1vx6KOPoqysDG1tbfzPKioqQNM0AECv1+Ps2bPw9vbmf967d29MmTIFb7/9NmpqatC3b1+7xy8U5Fwzn9uizYTul7sVM2fOZMPDw9ni4mI2ODiYdXNz4/9IpVK+b9LZ2dnkZ3PmzGEvXbrEBgQEsD/99JPQH8PukHYzn6VLl7JyuZwtLCxk7777bpN2cXV15duMoiiTn7m7u7MbN25k//rrL9bLy4s9efKk0B/FrpBzzXxuhzYTdebCsiy0Wi1cXV3h5OQErVYLrVbb4e8aDAYYDAb+73q9Hi4uLvzrbidIu1mGRqOBVCqFq6srdDrdDT8/177tMRqNcHd3B8uy0Ol09ghXFJBzzXxulzYTtVwoikJAQAAyMzNB0zTGjx8PpVLJ/7ykpAQXL14EAERFRaF37978z6Kjo6FUKtHW1obNmzfj4sWLiIqKQlRUFHr27Nnp/nRHxBrtptPp4OfnZ+/QBaVHjx7QaDRQKpUYOXIkPDw8+J9pNBpkZGTwEklKSuIXTlIUheDgYNTV1UEikcDX11eoj2BXuJukp6cnmpubybl2E7RaLQoKCpCXl4e8vDz8+eefcHV17d5tJmDW1ClSU1NZd3d39s8//2SNRqPJn2XLlvHp444dO0x+RtM0u337dlYul7MvvfQS+8gjj7CJiYlsYmIi+8ADD7BLly5ld+3axebl5XXL6aNdbbdevXqxly9fZmmaZmma5qdJdldUKhX74YcfslKplP3888+va7Pi4mJ+KvKAAQPYhoaG69rttddeY8PDwx1imqilGAwGtrm5ma2urmYvXrzIlpaWsh988EGXz7WKigqhP5rVYBiGvXLlCnvw4EH2rbfeYh9++GF20KBB7IABA9iIiAh2+vTp7JQpU7p9m4k6cwGACRMmwMvLCzt27MDo0aNNttmQSCQm/+/k5MT/Xa1WY+fOnbjnnnvwySefwMnJCQqFAgUFBcjPz0d+fj5SU1Oh1Wrh5OSEsLAwPrMZNmwYevfu7dDZzYQJE+Dp6Wlxu40dO5Z/YmKvrocCcPUpnfvj6DAMgwsXLiA7Oxvnz5+HVqtFz549sWPHDjzxxBMmA/bt24iiKJN2Y1kWVVVV2L9/P+677z5IpVLo9Xo4Ozs7fDux/8tO1Go11Go1v8+Vm5sb5HI5ZDIZHnvsMaxatapL51qvXr3s96GsjFqtRkFBAXJzc5GXl4fc3Fw0NDQAAPr374/Y2FhMnToVsbGxGDJkCJycnHDx4kUcPXq0W7eZ6OUyYMAAzJgxA2lpaXjkkUfwwAMP3PKCZRgG27dvR15eHr799lv+y/H19cW4ceMwbtw4AFfXNVy4cIEXzokTJ5Cens7/7rBhw3jhREREwN3d3bYf1krQNA13d3c8/PDD2Ldvn8Xt1v6E5+TCsiy/YSP3fo4mm5aWFuTm5iInJwdKpRI9e/bEAw88gOjoaAQHB+OVV17B2rVr8frrr3dqzzCdTocVK1ZAo9Hgueeeg1QqhU6ng06ng1QqhbOzs0PtPWY0GnmZaDQaMAwDJycnyGQy+Pr6QiaTmdwAu3KNHj16FG+99ZbJ+4kZlmVx5coVXiJ5eXkoLCwETdOQyWQYMWIEpk+fjtjYWMTExNywi9Sa9zWxIvozXiKRYOnSpTh69CgWLlyIbdu2Yfz48ZBIJJBIJJBKpfzNjWVZ0DSNvXv34q233sLChQsxZsyYG763k5MTwsPDER4ejilTpgAAmpubUVBQwAuHm08ukUgwaNAgPrOJiopC3759RXdTbW1tRVNTEyiKwrJly3DmzBmrtFt7kQD/n804SlbDMAxKSkqQnZ2N4uJiODk5ISoqCvHx8Sbf4+zZs/Hnn3/iww8/hEwmw8KFC+Hm5gYAkEqlkEqlJhmLSqXC+++/j71792LVqlX81FBXV1cYjUbo9XpoNBpIJBI4OzuLMpvpTHbi6up6w9d35RqNjY3Frl27cOXKFbzzzjvo2bOnvT52p1Cr1Th16pSJTBQKBQAgNDQUsbGxeOKJJxAbG4uwsLBO3/BteV8TCw6zceW5c+cwa9YslJWVYeHChZgzZw4YhkFVVRUAICQkBM3Nzdi4cSO+/PJLzJw5Ex999BFkMlmXjsswDC5dusR3pRUUFKCsrAwA4OPjg2HDhvGyiYyMNBkEtidGoxGNjY3QaDTw9PSEn58fJBKJXdqtfVbT/nQSg2yam5v5LKW5uRlBQUGIj49HdHQ0L41rqa+vx/PPP48ffvgBkyZNwpIlSxAREYGioiIwDAMXFxcMGjQImZmZ+OSTT3Dq1Cm8++67WLhwYYc3F5qmYTAYYDQawbKsKLIZg8Fgkp1wcclkMri7u1+XnXQGS8+1kydP4u2334ZWq8Xrr7+OyZMnC3LOsCyLS5cumXRvFRcXg2EYeHp6YsSIEXxGMmLECMjl8i4fs7NttmHDBuzdu9dq9zV74DByAa4uZPvb3/6GoqIieHp6IjIyEv369QNN0ygrK0NRURH8/f3x2muvYdasWTd92uoKKpUKZ8+e5WVTUFCA1tZWUBSF0NBQk7Gb4OBgm6f8KpUKCoWCnyV2bfddZWUlVqxYga+++gpSqdTm7XZtRgPYVzQMw6C4uJjPUpydnREdHY34+PhOj6W1tbUhNTUVa9euRW1tLUJDQxEWFgYvLy8oFAoUFRWhqqoKcXFxeOutt3DnnXfe8ntmWZbPZhiGAUVRfDZj63OEZVloNBpeKAaDARRFwc3NDTKZDDKZDC4uLl0+jqXnWktLCz788EN88803GDt2LN59912bjymoVCqcPn2al0leXh6am5tBURTCwsIQExPD/xk0aJDNvqPOtBkALFmyBEuXLrXZfc3aOJRcsrKy8OGHH2LmzJkoKipCZmYm6urq4OzsjJCQEIwfPx4TJ05Ejx497BoXwzC4cuUKL5v8/HxcvHgRLMvCy8vruuzGWjUZbpStdARN0ygsLMShQ4fs2m72zGq4rfBzcnKgUqnQp08fxMfHIyoqyuILsqamBr/99huOHDmCixcvQqvV8uNxEydOxMiRIy16irRHNnOz7ITLUGxxw+zKufbXX3/hzTffRGtrK5YuXYqpU6da5RzhJm+0F0lJSQlYloWPjw8vkdjYWAwfPtzudVNu1mZ33XUX6urq4Orqiueff1503ao3wmHkwrIsli5dCg8PD7z99tv8v9E0DYqiRDe41dbWdl1209LSAuBqqsvJZtiwYQgJCTH7IueyFYlEAn9/f7MmGwjZbtbOamiaRlFREbKzs1FaWgoXFxeTLMWa0DQNlmX5fnFrwGUzBoOB/04szWYYhjEZO7FVdmIOlpxrKpUKH330EQ4cOICkpCS8++67Zn+Xzc3NOHXqFC+TU6dOQaVSQSKRIDw8nBdJTEyMRdefLemozbhiYjNnzhT3li/tcBi5ZGZm4uOPP8Y777zjMI3bHpZlUV5ebpLdXLhwAQzDwMPDA0OHDuVlM2zYMJNpsO0xGo1oaGiAVquFl5cXfH19RXVhmIulslEoFMjOzkZubi5aW1vRt29fJCQkYNiwYXa/gVoLhmGg1+vNymb0ej0vE61Wa7fsxB4cPXoUb775JlpaWvDqq69i2rRpHX4WmqZRUlJiMuh+4cIFAFdnfV6blQg1LtpV0tLSoNFo8MILLzhE9uIQcmFZFq+++iq8vLzw1ltvCR2O1dBoNDh37pzJ2htupW5wcLDJzLTQ0FCo1Wo0NTXBycnJ7GzFEbiVaLiug+zsbFy4cAFubm4YPnw44uPjRT/n3xxuls0AMBk7MRqNoCiKH4SXyWT873UHWltb8cknn2Dfvn0YOXIkVqxYAQ8PD75rKzc3F6dOnYJarYaTkxOGDBnCZySxsbEIDg52iBtxZ7h06RJSU1MxY8YMDB06VOhwbolDyOXEiRP49NNP8e677yIiIkLocGwGy7KorKzkZVNQUIDi4mLQNA2pVIqBAwciOjoaiYmJiI6O7vbbjHCiaWhoQE5ODvLy8qBWqxEcHMxnKd3pRtoRDMOgra0Nzc3NfFeXVCo1kYm7u3u3uYFeC03TOH/+PPbt24dt27ZBoVDAzc0NHh4eCAgIQGxsLC+TqKgoh5hF1RXS0tKgVquxaNEi0X/nopcLy7L4xz/+AR8fH7z55ptCh2N36urqkJ2djZKSEly5cgWFhYVobGwEAPTt29ckuxk4cKBDLda7GUajEYWFhcjKysKlS5f4LCUuLo4fDG7fdSb2C80cGIa5LjsBwGcvrq6ucHFxsdtMM3vS0NBgkpWcOXMGGo2GX5Om0WhQWlqKkSNH4rPPPkNwcLDQIduVsrIybN682SGyF9HLhctaVqxYgSFDhggdjt0wGAxobGyEVquFt7c35HI5JBIJWJZFTU2NSXZTVFQEo9EIV1dXREZGmkwW8Pf3F/qjmEV9fb1JljJgwADEx8cjMjLSJEsRerqztelo7MTZ2bnD7IRhGH63XJZl4eTkZNJt5ihwDxDt15WUl5cDuLqJaPusZNiwYfy6pJMnT+Jf//oXGhoasGTJEsyYMaNbCfZWbNmyBW1tbaLPXkQtFy5rkcvl+Ne//iV0OHajpaUFCoUCTk5OCAgIuOFiPw69Xo/z58+bTBaor68HAAQFBZnIJjw8XHQ3IYPBgHPnziE7OxtlZWWQyWSIiYlBXFwcAgMDb/n6m4mG+3+xwTAMLxO1Wg2apiGRSPjuLnd39059T5xkujrTzB7U1taaDLrn5+dDp9PB2dkZw4YNM5nBFRQUdNPvTa1WY9WqVdizZw9iY2Px/vvvo3///nb8NMJx+fJlpKSk4Mknn8SwYcOEDueGiFouGRkZWLVqFd577z0MHjxY6HBsjsFgQENDA3Q6Hby9veHr62vxjbGurs5ENufPn4fBYICLiwuGDBli0p3WmRu4LeC6/E6dOgWNRoOQkBAkJCQgIiKiS917Ys1qdDqdSXYCAC4uLnx24ubmZnF8YstmuGqd7WXCrToPCgoyGXQfOnSoxTP8srOzsXz5ctTV1eHFF1/ErFmzRLcswRZs3boVKpUKixcvFuXDEyBiuTAMg1deeQX+/v544403hA7H5jQ3N0OpVEIqlcLf3/+W2Yq56PV6lJSUmMxMq6mpAXC1C6L9rgKDBw+22XReg8GAgoICZGdn48qVK/Dw8OCzlICAAKsfr71krt0Djft/W0HTtMnYybXZiUwms8kYGbcLgD2zmerq6uuyEu5hJjo62mS1u7Vn9mm1WqxevRq7du3C8OHD8d577yE0NNSqxxAbV65cweeff44nnngCUVFRQofTIaKVy7Fjx7B69Wq8//77CA8PFzocm2HNbMVcGhoaTGRTWFjIbxUfHh5ukt10tcBaTU0NsrOzcfr0aWi1WgwcOBDx8fGIiIiw65OmrbMaW2Yn5nKjbIbbFNFSdDod8vPz+YH3vLw8/kGlb9++JllJRESE3bKn3NxcLF++HNXV1Vi8eDGefvrpbp3FbNu2Dc3NzVi8eLEou0FFKReGYfDyyy8jMDAQy5cvFzocm8CyLFpaWvhsJSAgQPA9g4xGo0l2U1BQgMrKSgBAQECAiWyGDBlyy3j1ej0KCgqQlZWFiooKeHp6IjY2FnFxcaKoonejrIb7b2duwDRNm2yxwmUn7TeAFMMMPm7dDLcuRiqVwsXFpVP7oVVWVpoMup87dw5GoxFubm6Ijo7mZRITEyNYFyuHVqvFunXrsGPHDgwdOhQrV67EwIEDBY3JVpSXl2PTpk14/PHHER0dLXQ41yFKuRw9ehRr1qzBBx98gEGDBgkdjtXR6/VobGyETqeDj48P5HK5aPtNm5qa+G1s8vPzce7cOb7AWnh4uMlkAW5TyOrqamRlZeHMmTPQ6/UYNGgQ4uPjMXjwYFE/SXY2q2m/xYpOpwNwdYt9LjtxdXUV7fd5q2xGo9EgPz/fZA8ubnJI//79TQbdhwwZIgpxdsTp06exfPlylJeX4/nnn8e8efNEfe5Zyvbt26FUKkWZvYhOLlzW0rNnT/zzn/8UOhyrIsZsxVy4AmvtJwuUl5fzNypPT0+4u7sjJCQEkyZNQlJSklW2Jrc37SXDFc/ixk+4z8rJRCaTOeSNy2Aw4OLFi8jNzcXp06dx5swZvqwAV/iKk8mIESNEkW2ag06nw4YNG7B161ZERkbi/fffR1hYmNBhWZWKigps3LgR06dPx/Dhw4UOxwTRyeWvv/7C2rVru13Wotfr0dDQAL1eL/pspbNw5X3/+OMPHD58GNXV1dDr9fy25RKJBGFhYSbZjRgLrF0Ly7ImYyc6nQ4sy8LFxYXv6nJ1dYVEIhF8Bpo5qNXq67aYb2pqAsuyCAkJQXR0NN/NFRERIeoMzBzy8/OxbNkyXL58Gc899xySk5NFm3FZwo4dO9DU1IQXX3xRVNmLqORC0zSWLFmCoKCgbpO1sCyL5uZmNDc3w9nZGf7+/g6XrVyLVqvFmTNnkJ2djerqanh7eyMuLg5xcXHw8fHpVIE1TjZDhw4VxZYdRqPRZGYXV9q3/cyu9hUouzpWY2u4wlftZ3BxWQlX+Kp9VsJllx2NzTg7OztkZtYevV6PjRs3YsuWLQgPD8fKlSu7zfIGLnt57LHHMGLECKHD4RGVXP7880+sW7cO//73v7vFIFz7bEUul8PHx0cUNx5LYFkWFRUVyM7ORn5+PmiaRnh4OOLj4xEWFnbLJyaVSmVSPvrs2bOCFlhjb1Lat/3YSWffS+h1NVzhq/abOXKboIaFhZkMunem8BXLsjAYDNDr9XyZARcXly7PNBOas2fPYtmyZbh48SIWLFiA+fPni25RsSXs2LEDjY2NeOmll0STvYhGLlzW0qdPH7z22mtCh9Mlrs1WAgICHHYbeK1Wi9OnTyMrKwu1tbWQy+WIi4tDbGzsDcsCdAaGYXD58mWTmWm2LrDGjZ1w4ydcdtJ+i5WuPqF3VBzN2lnNzQpfeXt7mwy6Dx8+vEvfE2CazQD/v8eZo2YzBoMBKSkpSElJwaBBg7By5UqH3xC3srISGzZsEFX2Ihq5HDlyBOvXr8eHH37o0AuguGzFYDDAx8fHIbMVrvZMVlYWCgoKwDAMhgwZgvj4eAwcONBmT0atra04d+7cdQXWKIrCgAEDTKZCDxgwoFNP39bKTizFGlkNV/iqfVYiROErLpsxGAxgGAYSiYQXjaOd4wBQWFiIZcuWobS0FM888wwWLFjgsA+BALBz507U19djyZIlosheRCEXmqbx0ksvoV+/fli6dKnQ4VgEy7JQKpVobm6Gi4uLQ2YrGo0GeXl5yMnJQV1dHXx9fREfH4+YmBi7l30FTAusccK5VYG1W2UnMplMsAuvo6wGuL5mTWlpqcm6EjEWvuou2YzBYEBqaio2bdqE0NBQvP/++6Ler+tmVFVVYf369Zg2bRpiYmKEDkcccvnjjz+wYcMGfPTRRwgJCRE6HLPR6XRoaGiA0Wh0uGyFZVlcvnwZ2dnZOHv2LBiGQWRkJOLj4xEaGiq6z6FWq1FYWGgyFbqpqQkMwyAoKAiDBg3C4MGD+e40Dw8P0U6gYFkWTU1NfDaSl5eH06dPo62tDVKpFEOGDDHJSvr37y+676O7ZDNFRUVYvnw5ioqKMG/ePDz33HMO93AIALt370Ztba0oshfB5ULTNF588UX0798fr776qpChmI0jZytqtRp5eXnIzs5GQ0MD/Pz8+CzF09NT6PBuisFgMNlRuLq6GqWlpbh06RJKSkpw6dIlMAwDd3d3REZGmmQ3QhZY4wpftZ/Bxc2i8/Pz42dutS98JYYNNzsLTdN8mWbA8bIZo9GILVu2YMOGDejfvz9Wrlwp2n27bgSXvUydOhWxsbGCxiK4XH7//Xds2rQJH3/8MQYMGCBkKGbRPluRy+Xw9vYW/Q2Am56anZ2Nc+fOAQAiIyORkJCAAQMGiDZ+lmVNpgkbDAZQFGUydtJe6lqtFoWFhSb7pjU1NQG4vsDaoEGDbHbza2xsNOneal/4KjIy0mQPrmvX/4hhBpqlOHo2U1JSguXLl+PcuXOYM2cOXnjhBdFmvx2xe/du1NTUYMmSJYKKXVC50DSNxYsXIyQkBP/4xz+ECsMsWJaFQqFAS0sLXF1dERAQIPqpjG1tbcjNzUV2djaampoQEBDAZyliWGPSEe2zE41GA5ZlIZVKTWZ2dTbtv1mBNTc3N0RERJhkN5YUWOMKX7XPSq5cuQLg5oWvOhs/919Hkw1N07xoAPB7mok9m6FpGlu3bsX69evRt29fvP/++6KZhXUrqqursW7dOjz66KOIi4sTLA5B5cJlLZ988olDFPpxpGyFZVlcvHgRWVlZKCwshEQiwdChQxEfHy/KvnuutC+XodwqO+kqOp0O58+fN8luGhoaAFytN9I+uwkLC7vuAaKurs4kK+EKX0mlUgwbNswkK7lV4StzccSsxlGzmQsXLmD58uXIz8/H008/jcWLF1u9HIYt2LNnD6qqqvDyyy8LJnLB5GI0GrF48WIMHDgQr7zyihAhdBpHylZUKhU/lqJQKNCjRw/Ex8djxIgRcHd3Fzo8E25V2tfNzc2ug5K1tbUm2Q1XYM3Z2Rk9e/aEq6srNBoNKisrTSp9th90Hzp0qN27UBxNNh1lM9zmmWKEpmns3LkTa9asQVBQEN5//33BxzNuRU1NDdauXYspU6YgPj5ekBgEk8t///tfpKSk4NNPP0VwcLAQIXQKrVaLhoYG0DQNX1/fLi9IswXcorrs7GycP38eEokEUVFRiI+PR79+/URzg+GyE04o3BYj7bdYEYO0ucJXmZmZOHbsGAoKCqDRaGA0GuHi4gIPDw/06dMHiYmJGD16tM0LrJmDI5V8drRs5tKlS3jjjTdw6tQpzJw5Ey+99JLoHtja88UXX6CyslKw7EUQuRiNRixatAhhYWF4+eWX7X34TtE+W3Fzc4O/v78obnztaWlp4cdSmpub0bNnTyQkJGD48OGiSd1vlZ24u7sLXnq4oKDAZLX7zQpfNTc3m0yD7qjAGtel1tUCa9bAUbIaR8lmaJrG7t27sWbNGgQGBuK9995DQkKC0GF1CJe9PPLII4LEKIhc/vvf/2Lz5s349NNP0a9fP3sf/paIOVthGAYlJSXIzs5GUVERpFIpoqKikJCQgD59+gh+wxBzdsIVvmo/6H727NkuFb66tsBafn4+XyueK7DGyaYzBdZsiSNkNSzL8mWaGYYBRVFwcXERXTZz+fJlLF++HLm5uZgxYwaWLFkiyskxX375JcrLy/HKK6/YPXuxu1y4rCU8PBxLliyx56FvCcMwUCgUUKlUostWmpubkZOTg5ycHLS0tCAoKAgJCQmIjo4WfJpkR6V9nZ2d4eHhYffSvu3hCl+1l8m1ha+4rMSaha+amppMNum8tsBa+8kCvXv3tsoxLUHsWQ2XzRiNRn62oJiyGYZh8MUXX+Czzz5DQEAAVqxYgZEjRwodlgm1tbVYu3Yt/v73vyMxMdGux7a7XP7880+sX78en332Gfr27WvPQ9+ShoYGtLW1wc/PT5DtTm4Ey7JYvXo1WltbER0djfj4eL7qo9AYjUZcvnwZEonEJDsRww3ghx9+wKJFiyCTyTB8+HCTrMSeha+4LV3aTxYoLy/HgAED8NVXX9ktjptxrWi4ejxigMtmDAYDaJqGm5ubaB76gKvlht944w3k5ubi559/Rp8+fYQOyYS9e/fyYy/2vGdYRS7mvAXLsmhtbbXo5m1Jw5gTG8MwfJVBc7F1bK2trRbv2mvr2HQ6ncXZk7mxmft9Go1Gi7pUbN1mRqOR744zF1vH1hXscY1aKj1bnmtcgTkxfp9cb4K9YuOwyuNlenq6Tdep6PV6aDQaTJw40ezXKpXKG87iuXZLdEuhadqicZnDhw+jV69efCwMw4CmaQCAk5OTVfpIW1tbLUqHFQqFWbOfuC0/Ogv3eX18fMx63Zo1a/jt0VmW5btOAFity6ShoQEzZsww+3VpaWk3LaPLxUpRlMUybmpqwpQpU8x+HcuynTrPO/t71nytXq8361znrpHOwl3n5mY7GzZswJAhQ677dy6LYv9XnVQqlfLZlbnHaGxsxPTp0816DQD89ttvCAoKuu7fuWuCk7BEIuH/zdyHrNbW1i5181lFLhUVFXj00Uet8VbXceXKFWzYsAG9evWySC7c1vfcjZs7MfR6PX9T8vDwMPsm1576+nqL5FJfXw8/Pz80NjaisbERCoWC3xbexcUFffr0QUREBPr27WtxN8BXX31lkVz0er3N9uHSaDRobGyEs7Oz2e1+4cIF9OvXD2VlZSgrK0NlZSXUajUAwNPTEzExMXjkkUe6VGXwhRdesEguZWVlmDt3Lv93g8GA+vp6frFmcXExmpubIZFIMHz4cMyePdvs7rnly5dbJJfO0lW5WPo6Ww02c2UXKIoy+xq6ePEiFi5cCJqmoVAoUFRUhJMnT6KgoABKpRI0TUMulyMkJAQajQYVFRWIjIzE66+/3unP8/LLL1skl/r6ekyYMIHPmOrq6lBWVoby8nI0NzfDYDDwO1oYDAZotVoEBgbikUce6XQG8+WXXwovF4qibHJysCyL9957D4899hjy8/Mtfp+amhowDAPgakYglUrh6urKd81xg7xC7Gacl5cHPz8/9O7dG8OGDeM3jVSpVLh06RK+//57uLi4YMyYMYiKirJrP7gt2oJhGNTU1KBnz55QqVQWxXTw4EEEBwdj+PDhePjhh+Hv7w+WZVFXV4fDhw9jzpw5GD9+PBYsWGDX3QgoioJCoUBxcTG/03FjYyMCAgIwdOhQ/P3vf0dQUBD0ej2+/fZbzJ07F//85z8xevRou8R4q2PQNA2KovgyBfbEVp9fp9NZ/N4URWH79u04efIkysrK4OnpiejoaEydOhV9+vSBk5MTqqurceHCBbi5ueFvf/sbNmzYgFdeeQVr1661+XealZWFCxcu8FPng4KCMHDgQAQGBsLV1RV6vR6tra2QSqXw8vLC8ePH8fnnn9utWqXwo6434fz581Cr1Zg4cWKX5CKXyyGVSuHk5MQ3avsvPigoiJ8+6uLiYteV4U899RQkEkmHJ2JkZCS0Wi2Kiorw66+/4sKFC5g8ebJoBlrNhWVZVFdX8wP/lsgFALZu3QonJ6cO2+y+++5DWVkZ1q9fj8cffxwPPPAAXnvtNbvNqJs/fz48PT0xbNgwPPnkkxgyZAgCAwOvKw8cFxeHH3/8Ee+99x6SkpLwj3/8Q9C1Se27iEVQhcNqGI1GyGQy6HQ6i15fUFCAu+++m99c9NqZj8OHDzdpu8TERIwdOxa//fYb7rnnHqt8hhtRWFiI0NBQjB07lhfKze4N/fr1w5o1a/DDDz/g4YcftmlsACDauxTLsvjggw+waNGiLj8BcPtScTeka9/P2dkZvXr1gl6vh1KpRE1Njd0usBvdJAHw60NGjBiBhQsXory8HN9++63DXvytra3Q6XTo1atX1wYKb1LHnaIohISE4JNPPsH27dtx/vx5PPnkk2b301vKp59+is2bN+PVV1/FhAkT0Lt37w77uiUSCR588EFs27YNdXV1ePbZZ80et7Im155TjnqOtccaY6qffvoppk+fjrCwsBsu+G1/T5HJZNi8eTNefvlli4XWWZ566imMGzcOwcHBndrIVSKRYP78+Thx4gQ0Go1NYwNELJfs7GwwDIPRo0fb5Xiurq4IDAxEr169wDAMv0W7WPD09MT8+fNRUFCAM2fOCB3OLbl2/YTRaERdXZ3dplBTFIUhQ4Zg+/bt0Gg0ePXVV+1ywwwJCen0uh6KotCzZ0989tlnAIA333xTkJs69111lEFf+z06Epysu3K+WdJLEBcXh8TERCxatMimbXejHo+b4eHhgfj4eGzZssXm36so5cKyLFatWoWlS5fad172/+b2BwUFQaVS2e1pt7O4u7tjzpw5OHDgAFpaWoQO56aoVCpUV1dDp9PBYDCgoqICcrnc7gs+XVxcsHfvXvz000/49ddf7XrsziKVSrFp0yb89ddfyMnJsfvxb3WT4aboOxpdmSLfFSiKwoYNG5CZmYnDhw/b/fi34u9//ztqa2tRVFRkW/nZ7J27wOHDh+Hq6ipYFTgnJyd4enqitrZWdBdV3759MXbsWGzevJmfpCA2WJZFfX09XF1dUV1djcrKSnh6esLPz0+QhZ/e3t7Ytm0bFi1aBIVCYffjdwaZTIaVK1filVdesev3eqOshTvvuS1YxHqu3QgufqEW87q6uvKD51xdH7Hg5OSEp556Cl988QVOnTpls3uc6OTCsiw2b96MN954Q9AV6P7+/ibTlcUCRVG499574e7ujm+++UZ08gOursVwdnbmZ8EFBQXB399f0O9z5MiReOyxxzB9+nRRthkAjB07Fj169MDGjRttdoz2K/G5tUbXcu2gPve9ibXdOoL7XEKfc88//zyefPJJQcfTOmLQoEGYNWsWvvnmGxQXF9vkGKKTyw8//ABvb2+EhoYKGgdFUfD397fr4H5noSgK8+bNw+nTp1FdXS10ONehVCr5HYFdXFzg6uoq+FY1FEXh3XffRXV1NQ4dOiRoLDeCoihs2rQJu3fv5ldVWxOue4thGP4P1xXc/vtxRJlwcNLUaDSC77lHURTmz5+PPn364I033hA0lmuhKAphYWGYOXMmdu/ebZPvWlRyYRgGu3btwltvvSX4zQi4OohOUZQoxzfc3NwwefJkbN26VVQ3AS4WMdQ2uRaJRILt27fbvevJHAICApCUlITXX3/dZsfgVm5zUrnVtcb9jljbrD1Go5FfNCmG/e0oikJaWhq+++470fWCAEBYWBhomrbJPU5Ucjlw4AACAgIE3Sm2PRRFoVevXlAoFKIb3AeAmJgYODs74/jx40KHwqNSqSyaxWIvYmNj0bt3b3zyySdCh3JDVq5ciRMnTlj9gm+/4/HNdj/uKHNxhGyGW63OrUwXyzno5eWFQYMGYfXq1UKHch0URSEmJsYmG6iKRi40TSM9PR1vv/22aE4K4OoaGE9PT9F2j82dOxc///yz3eTHbQZ5o581NDSgZ8+edonFEiiKwpdffomUlBR+qx2xwa32fumll6z6vuZupc8N9DsKOp2Or2YppnsIAGzatAk7duwQ3T0EAB566CGUlZVZ/X1Fc+Z88cUX6NWrV6cKNNkbf39/GI1Guyw8MpeAgAD06tULP/zwg82PxRXbKi8v73DRXVVVFdzc3ERd+hUAevXqhZiYGJt2PXWV119/HefOneP3TbM3196c23eNifEGCcDiXabtQe/evcGyLBoaGoQO5Tq4sSlrTzoQhVz0ej2+++470WUtHBRFoUePHqivrxfdhUVRFGbPno3s7GybP4nrdDro9XpQFHXd1i0ajQZ6vR5BQUGi/A6vZevWrfj2228Fu3nfCqlUijFjxuBf//qXIMe/1UC/2K4Da+1wbisoisJDDz0kyrLuFEXB19cXx44ds+r7Ci4XlmXx8ccfY/jw4XYt4GQubm5ucHJyglKpFDqU65DJZAgPD8fevXttdgxuX7DAwEAEBgZe9wRWV1eHgIAA0V7c1+Lt7Y177rkHCxYsEDqUG7JixQocO3ZMkBt5R11onHC4GWdCCubaGLhuYTGff//617+Qk5MjOjEDwLRp0/Dbb79Z9T0FlQvLsjh69CjOnj2LpUuXChnKLeEG95ubm0U5a+bxxx9HSUmJVZ/EuQtYr9ejubkZwNXBSZlMdt0FQtO0qKp3doZ169bh6NGjol5Y6eHhgT/++EPoUHg4wQDCDe5z2+hrNBrodDr+70JPPb4VHh4ekEqlKCkpETqU6+jfvz+MRqNV722CyiUnJwcbN27Em2++Kcqpq9cilUrh5uYmyn5TZ2dnxMXFWXXQsLa2FpWVlaiurkZbWxv69Olj8kTLHUfsXRI3wtXVFdOnT8fTTz8tyqdJAHjrrbewYsUKocMwoX0GI9ReaDRNw93dna/PBAi3Gt8cFixYgEWLFgkdxnVQFAUPDw/k5eVZ7T0Fk0tJSQk++eQTLF26tEuFnexNjx49oFarRTk1+aGHHkJVVRWfZXQVNzc3BAQEoE+fPujdu7fJAwBFUfwEB7HOuuoMK1aswNmzZ/mSC2Jj3LhxUKvVolvhbe21LwaDge/mupWwNBoNXFxcIJFIIJPJLC5lLQTz58/vcEKMGHj88cdx8OBBq72fIHJpbGzEO++8g2effRYjRoxwiJOCQyKRiHbfMScnJ9x5551WW1jp4+MDd3f3Dre49/b2RmNjI4Cr2714eHh0+XhCIJVK+cqTYvs+gf/vjrXleJqlWHPti8FggEaj4bu62sumPZx8uKqSEokE7u7uDtHzAVw93zw9Pa0+vmENQkNDYTQarda1bne5tLa24p///Cfuu+8+3HXXXQ4lFg5u3zGxPU0CwIQJE6BUKlFXV9fl97rZd+Pr68tnLGq1WtSTMW7Fiy++iMrKSpvtsdRVVq5ciZSUFKHDuA5rysXd3Z2XBEVR/NR/bkyFo6M9w8xdvyM0K1euxLJly4QO4zooikJ0dDT27Nljlfezq1yam5uxbNkyREVFYcaMGQ51QrSHoijI5XJRLqxsX4TK1rUkgP+/sZhbn1xMSCQSvPnmm5g5c6bovk8AiIiIgMFgEOXDjLXGXrhxHKlUyleDdXd3B8uyUKvVvFS0Wq3DZCk34u6770Zra6sov88pU6bg0qVLVunutJpc/vOf/yAvLw+XL19GU1MTmpubUV9fj6qqKtTX1+PUqVN4/fXXMWTIEDz//PMOKxYOHx8f0DRt82pzlpCYmAitVovLly/b7BgURcHZ2Rn19fX83x2ZmTNnoqWlBdnZ2UKHch0URaFfv37Yvn270KHYBS4TkUgkcHNzg1QqhUaj4bvJHPlBBrj6+fr06SPK79PFxQUeHh7Izc3t8ntZbXpFbm4uFAoF/5QhkUj4/7IsC4qiMHnyZNx7770OtaXEjaAoCgEBAXzdEjFBURSmTp2K/fv3o0+fPjY7Tu/evXHlyhX4+/vb7Bj2gqIorFq1Ci+99BKio6OFDuc6Vq5ciUWLFmHEiBFCh2ICJwFbTc/ndtbmdjq+WYlrR2LNmjWYP38+4uLihA7lOmbOnIk9e/agf//+XXofq8hFKpVi3LhxoGkaWq0WbW1toGkarq6ukEqlMBqNcHd3h0wms3iqm6XbwlAUZbNV2BKJBD4+Phant05OTigqKrJyVFdxdnbG2LFjLV7DQVEU2trabvl7fn5+cHZ27tTvXoslU0ednZ3x+++/m/26zuDm5ob58+ejoqLCotc7OztbfZVze+bOndulEgu27PLr6g3/VteQVCrld3K25Hqz5IHW2dkZR44cMft1nWXBggUWz1KUSqU4f/68lSP6f+66664uLxinWCucceZ0DXF9qObOLuI2pDMXc56ouPnz5t70LB1QtMcW3JZuPW5Ou1laTtaSdjOnzgnLstDr9WbHJpFILOrXNyc27rs395x2cnKy6Dow5zLnehoswZLX2Wucy5bnGvf75u5tZum5Zs69g6ZpaDQaeHp6mnWMrpYtsIpczKG+vh6lpaWQy+Xo27evqFZ1NzU1QaPRIDAwUHSDhjRNQ61WQyaTwcnJSehweFpbW9HY2IiAgADRTEfmHmBaWlpgMBjQu3dv0S2wq6yshFKphFwuF935RtO0yUp8McHtGiGmsg5cWW+VSoXg4GDRjAkZjUZUVlaioqICUqkUiYmJdm0zu589AQEBYFkWqampmDt3LlasWGHT9M4c5HI5JBIJampqRLcwsLa2Fh999BFqa2uFDoVHpVKhtraW36ZEaGiaxrfffot7770Xw4YNw/Lly9HU1CQ6sQBXuxNzc3Mxd+5cjB8/Hh988IFoqoq23z9MbDAMYzJ7TGgYhsG//vUvjB8/HmfPnhWFWHQ6HQ4fPowPPvgAaWlpaGxsxJAhQ+wuY7tnLhwsy+LEiRPYv38/rly5gujoaEybNg1DhgwRIhwehmFQW1sLg8GAXr16ieaJsqqqCps2bcLChQtFUUxNpVKhrq4O3t7egpdJoGka33//PdauXYtLly5hwoQJWLx4MYYPHy5oXJ1Bo9HgwIED2L17N1paWvC3v/0Ns2fPFvw75uQitgxGTBk8J5aDBw/igw8+wEMPPSRoPFqtFsePH8fRo0eh1+uRkJCAO++8Ez4+PoLEI5hcOFiWxcmTJ7F//35cvnwZw4YNw7Rp0xAZGSlYTGIUjJjk0tLSgvr6esHFQtM0Dh48iHXr1qGsrAx33303XnzxRURFRQkWk6VoNBp8/fXX2LVrF1paWvDAAw9gzpw5Np3tdyvEKBixyIWmabz55ps4ePAg/v3vf+Nvf/ubYLFotVpkZGTg6NGjMBqNvFS8vb0FiwkQgVw4WJZFVlYW0tPTUVZWhqFDh2LatGkYOnSoIPG0F0zPnj0Fn24sFrlwYvHx8UFAQIAgMdA0jW+++Qbr16/H5cuXce+992Lx4sUYNmyYIPFYE61Wi2+++QY7d+6EUqnkJdO3b19B4hGbYMQgF5qm8cYbb+D777/Hhx9+iAcffFCQOLRaLY4dO4Zjx47BaDQiMTERd9xxh+BS4RCNXDg4yezfvx+XLl1CZGQkLxl79xmKSTBikIvQYjEajbxUrly5gokTJ2Lx4sWCPYDYEq1Wi2+//RY7d+6EQqHA/fffjzlz5qBfv352j0VMghFaLjRNY/ny5Th06BA++ugj3H///XaPQaPR4NixY8jIyIDRaMTIkSNxxx13iGpyFCBCuXCwLIucnBykp6fj4sWLiIiIwGOPPWZ3yYhFMELLRUixGI1GHDhwABs2bEB5eTnuu+8+LF68GBEREXaNQwh0Oh0vmaamJkyaNAlz585FcHCw3WMRwywyIeVC0zT++c9/4qeffsLHH3+M++67z67H12g0OHr0KDIyMsAwDEaOHIlx48aJTiocopULB8uyyM3Nxb59+3Dx4kUMGTIE06ZNQ1RUlN0kIwbBCCmX5uZmNDQ02F0sBoOBl0pFRQXuv/9+LF68WPBJH0Kg1+tx8OBB7NixA42NjZg4cSLmzJmDAQMG2DUOoQUjlFzai+WTTz7BpEmT7HZstVrNZyqcVO644w6z163YG9HLhYNlWeTl5SE9PR2lpaUYPHgwpk2bhujoaLtIhmEY1NXVQa/XCyIYoeTCiUUul9ttmxeDwYD9+/djw4YNqKqq4qXiSHV/bIVer8d3332HHTt2oL6+HhMnTsTcuXPtKhkhBSOEXGiaxmuvvYZffvkFn376KSZOnGiX47a1tfFSYVkWo0aNwrhx40QvFQ6HkQsHy7I4deoU0tPTUVJSgvDwcEybNg3Dhw+3uWSEFIwQcrG3WPR6PdLT07Fx40ZUV1fjwQcfxKJFixAeHm7zYzsaer0e33//PXbs2IG6ujrcc889mDdvHkJCQuxyfK5YnhBdU/aUC03TWLp0KX799Vd89tlnuPfee21+zLa2Nhw9ehTHjx8HAIwePRpjx44VxVoyc3A4uXCwLIvTp08jPT0dxcXFCAsLw7Rp02xefEwowdhbLvYUi16vx759+7Bx40bU1NTgoYcewgsvvICwsDCbHrc7oNfrcejQIWzfvh21tbW45557MHfuXISGhtr82EIIxp5yMRqNePXVV/Hf//4Xq1atwj333GPT47W1teGvv/7CiRMnADiuVDgcVi4cLMvizJkzSE9PR1FREQYNGoRp06YhJibGZpJhWRa1tbXQ6/Xo0aOH2fsJWYI95WIvseh0Onz11VfYtGkT6urqeKkMGjTIZsfsrhgMBhw6dAjbtm1DbW0tJkyYgHnz5mHgwIE2Pa69BWMvuRiNRvzjH//A77//jtWrV2PChAk2O1ZraysvFYlEwktFJpPZ7Jj2wOHlwsGyLPLz85Geno7z589j4MCBmDZtGmJjY20iGU4wOp0OPXv2tLlg7CUXpVKJxsZGm4pFp9Nh79692LRpE+rr6/Hwww9j0aJFdnna7u4YDAb8+OOP2LZtG6qrqzF+/HgkJyfbVNj2FIw95NJeLGvWrMH48eNtchyVSoW//voLJ0+ehEQiQVJSEsaOHQt3d3ebHM/edBu5cLAsi7Nnz2Lfvn0oLCxEaGgopk2bhri4OKtLxp6CsYdcOLH4+vrapGyxVqvF3r178fnnn6O+vh6TJ0/GCy+8YLdxgtsJo9GIn376CVu3bkVVVRXGjx+PefPm2ayr0V6CsbVcDAYDXnnlFfzxxx82E4tKpcKff/6JzMxMSCQSjBkzBmPGjOk2UuHodnLh4CSTnp6Oc+fOISQkBFOnTkVCQoJVJWMvwdhaLrYUi1arxRdffIHPP/8cTU1NvFTsPY32dsRoNOLnn3/Gtm3bUFFRgTvvvBPz5s2zycw7ewjGlnIxGAx4+eWX8eeff2LNmjW46667rPr+KpUKR44cQWZmJqRSKcaMGYOkpKRuJxWObiuX9pw7dw7p6ekoKCjAgAEDMG3aNKtKhmVZ1NXVQavV2kwwtpSLrcSi0WiwZ88epKSkQKFQYMqUKXj++ee7XOGOYD40TePnn3/G1q1bUVFRgXHjxuGZZ56xumRsLRhbycVgMGDJkiX466+/sG7dOtxxxx1We++WlhYcOXIEWVlZkEqlGDt2LJKSkuwyViskt4VcONpLpn///pg6dSpGjhxpFcnYWjC2kostxKJWq3mpKJVKTJ06Fc8995wgq8oJptA0jV9//RVbtmxBeXk5xo0bh+TkZKsuTLWlYGwhF71ejyVLluDYsWNYt24dxo0bZ5X3bS8VZ2dnPlPp7lLhuK3kwnH+/Hmkp6fjzJkzCA4OxtSpUzFq1KguS8aWgrGFXBQKBZqamuDn5wdfX98uv59arcbu3buRkpKC5uZmTJ06Fc8//7wg+2ERbg4nmW3btuHy5csYM2YMkpOTrbYbua0EY2256PV6vPTSS8jIyMD69esxduzYLr9nc3MzLxUXFxc+UxF681t7c1vKhaOoqAjp6ek4ffo0+vXrh6lTp2L06NFdkkx7wfTo0cNq/anWlos1xaJWq7Fz505s3rwZKpUK06ZNw3PPPSfYTr6EzsMwDP7zn/9g69atKCsrQ1JSEpKTk62yGagtBGNNuej1erz44os4fvy4VcSiVCpx5MgRZGdnw9XVFWPHjsXo0aNvO6lw3NZy4SguLkZ6ejpOnTqFvn378pKxdHsLWwjGmnKxllja2tqwc+dOpKamQqVSYfr06Vi4cKGgNUgIlsEwDH777TekpaWhrKwMo0ePRnJycpfLGFhbMNaSi06nw4svvoiTJ09i/fr1GDNmjMXvpVQq8ccffyAnJweurq4YN24cRo0addtKhYPIpR3FxcXYv38/8vLy0KdPH0ydOhVJSUkWScbagrGWXKwhltbWVuzYsQNpaWloa2vjpSJ0ETNC1+Eks3XrVly8eBEjR45EcnIyoqOjLX5PawrGGnLR6XRYtGgRsrKysHHjRowePdqi91EoFPjjjz+Qm5sLNzc3XipiKC4oBohcOqC0tBTp6enIzc1F7969MXXqVIwZM8ZsybAsi/r6emg0mi4LxhpyaWpqgkKhsFgsra2t2L59O9LS0qBWq/HEE09g4cKF6NWrl0XxEMQLwzA4fPgwtmzZggsXLiAxMRHJyckWl462lmC6KhdOLNnZ2di4cSNGjRpl9ntwUsnJyYFMJsO4ceMwcuRIIpVrIHK5CaWlpdi/fz9ycnIQFBTES8ack9pagumqXDix+Pv7Qy6Xm/ValUqF7du3Y8uWLdBoNHj88ceJVG4TGIbBkSNHkJqaigsXLiAhIQHJyckYMWKE2e9lDcF0RS5arRaLFi1CTk4ONm3ahJEjR5r1+qamJhw+fBh5eXmQyWS44447kJiYSKRyA4hcOsHFixeRnp6O7OxsBAUFYcqUKRg3blynT25rCKYrcrFULC0tLdi2bRu2bt0KnU6HJ554AgsWLEDPnj3NjJ7g6HCS2bJlC0pKShAXF4fk5GTExsaa9T5dFYylctFqtXjhhReQm5uLzz//HImJiZ1+bWNjIw4fPoxTp07Bw8ODl4qzs7MlH+G2gcjFDC5duoT9+/cjMzMTPXv2xNSpUzstma4KxlK5WCKW5uZmbN26Fdu2bYNer8eMGTPw7LPPokePHmbFTOh+MAyDv/76C2lpaSguLkZsbCyeeeYZsyTTFcFYIhetVovnn38eeXl5SElJQUJCQqded61U7rzzTiQkJBCpdBIiFwsoKytDeno6L5kpU6bgzjvvvOXJ3l4wgYGBZu16aolczBWLUqnkpWI0GnmpBAYGdjpOwu0By7I4evQoUlNTUVRUhJiYGCQnJ3d6Dz9LBWOuXLRaLRYuXIgzZ84gJSUF8fHxt3xNQ0MDLxVPT08iFQshcukCZWVlOHDgAE6cOIEePXpgypQpuOuuu2560lsqGHPl0tjYCKVS2SmxKBQKXio0TWPWrFmYP3++XUsaExwTTjJpaWk4f/48hg8fjuTk5E5tr2SJYMyRi0ajwXPPPYczZ85g8+bNiIuLu+nv19fX4/Dhwzh9+jS8vLx4qUil0k7HR/h/iFyswJUrV7B//34cP34cgYGBvGRudFKyLIuGhgao1epOC8YcuXBiCQgIgI+Pzw1/T6FQIC0tDdu3bwfLsrxU7FXOmNB9YFkWGRkZSEtLw7lz5xAdHY1nnnnmlpIxVzCdlYtGo8HChQtRUFCAzZs337Tbrq6uDocPH8aZM2fg7e2NO++8E/Hx8UQqXYTIxYpcuXIFBw4cwPHjx+Hv748pU6Zg/PjxHZ6k5gqms3LpjFgUCgVSU1OxY8cOAOClYott9gm3FyzL4vjx40hLS8PZs2cRFRWF5OTkm+7hZ45gOiMXtVqNBQsW4Ny5czcVS11dHX7//Xfk5+fD29sbd911F+Li4ohUrASRiw0oLy/HgQMHkJGRAT8/P14y1/bZmiOYzsjlVmJpamrC5s2bsWvXLgDA008/jWeeecYq+4oRCO1hWRYnTpxAWloaCgoKMHToUCQnJ99we6XOCuZWclGr1Xj22Wdx/vx5bN68GTExMdf9Tm1tLX7//XcUFBTAx8cHd911F2JjY4lUrAyRiw2prKzE/v37cezYMfj5+eGRRx7BhAkTTCTTWcHcSi43E0tjYyNSUlKwe/duUBSFOXPmYN68eUQqBJvDsiwyMzORlpaGM2fO3FQynRHMzeTS1taGZ599FkVFRUhNTb1uLU5NTQ0OHz6M/Px8yOVyjB8/HrGxsXYr0Xy7QeRiByorK3HgwAEcPXoUvr6+eOSRR3D33XfzkuEE09bWhsDAQHh4eJi8nit8lpKSgmeffRZDhw41uTAbGhrQ3Nx8nVgaGhqwefNm7N69GxKJBHPmzMHcuXOJVAh2h2VZZGVlIS0tDadPn0ZERASSk5MxZswYk3OZYRiwLNvhDZ/bUqm+vh6BgYHo0aMH/1pOLMXFxUhNTTXZSaCmpobPVHx9fflMhUjFthC52JGqqiocOHAAf/31F+RyOSZPnox77rkHLi4uHQpGqVRix44dWLduHS5cuMC/z8CBA7Fo0SI8/fTTMBqNaG5uRmBgILy9vQFcnfWSkpKCPXv2QCqV8lIxd2U+gWBtWJZFdnY20tLScOrUKQwZMgTJyckYO3YsL4prBXOr6+DRRx/Fa6+9htLSUqSlpSEqKgoAUF1djd9//x1nz56Fr68vJkyYgBEjRhCp2AkiFwGorq7mJePj42MimYaGBrS2tuL06dOYMWMG1Go1gKsXJQd3Ebq7u2P9+vV49NFH4e3tjbq6Onz++ef44osv4OLigrlz52LOnDk3nTFGIAgBy7LIzc1FWloacnNzMXjwYCQnJ2PcuHGgKIoXzH//+188+uijN7wOOAkNGjQI+/fvx7Bhw1BVVYXff/8d586dg5+fH8aPH0+kIgBELgJSU1ODAwcO4M8//4S3tzf+/ve/495778XBgwfxxBNPgGVZ3OzroSgKFEVhz549KCoqwpdffglXV1deKlwmQyCImdzcXKSmpiI3Nxfh4eGYN28e7rjjDvzyyy/429/+dsvrAAAkEgl27doFmqZRWFgIf39/XiqWls4gdA0iFxFQW1uLr7/+Gn/88QdcXV2xb98+6HS6Tr+eoihERkbi2WefxezZs+Hl5WXDaAkE25CXl4e0tDRkZ2cjODgYP/zwA7RabadeS1EUpFIp3nzzTTz44IMYPnw4kYrAkNYXAT179sTChQuxdu1aaDQas8QCXO0qeOqpp7Bo0SIiFoLDEhMTgw0bNiAlJQU1NTWdFgtw9RowGAzw9PRETEwMEYsIIJmLiGBZFmFhYSaDlp2BoiiEhoaipKSkSyWaCQQxQK6D7gGRi4hoaGjo0iaRDQ0NZOsWgsNDroPuAckdRURra2uXXq9SqawUCYEgHOQ66B4QuYgIT0/PLr2ejLcQugPkOugeELmICH9/fwwcONDs/mKKojBw4ECy8SShW0Cug+4BkYuIoCgKixYtsui1ixcvJoOYhG4BuQ66B2RAX2QolUr07dsXGo0GDMPc8vclEgnc3d1RUVFBtnchdBvIdeD4kMxFZMjlchw4cAAURd1yrr5EIgFFUfj666/JBUXoVpDrwPEhchEhkyZNwqFDh+Du7s5v8dIe7t/c3d3x448/YuLEiQJFSiDYDnIdODZELiJl0qRJqKiowOrVqxEaGmrys9DQUKxevRqVlZXkgiJ0a8h14LiQMRcHgGVZNDU1QaVSwcvLC35+fmTQknDbQa4Dx4LIhUAgEAhWh3SLEQgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCweoQuRAIBALB6hC5EAgEAsHqELkQCAQCwer8H/GdLen6emJLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, noise_scale=1.)\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x) # forward is needed to collect activations for plotting\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "37884df0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GUChEdHQ0OwEfHx8PhUIBGxsbNjJhxETXDQNN04iOjkZYWBiSk5Ph6uqKoKAg9OrVixeNFB/EhaGoqAg7d+7Ezz//DIqiMHXqVMyaNQvW1tY6t6Wqqgr37t1jo92EhAQoFArY2tqqbOp0cnLixe9I0A1EXBo5VVVViI6OZiOTxMRE9sGvOczl6OjI2YNP0zTu3buHsLAwPHz4EG5ubggKCoKXlxevGiM+iQtDcXExdu3ahf3794OmaUyZMgVffPEFJyLDwHRgmMjmxQ4ME9lw0YEh6A4iLo2MyspKlQebGR9nhiyYh5sP4+M0TSMqKgqHDx9Gamoq3N3dMWHCBPTo0YNz22qDj+LCUFxcjN27d2Pfvn1QKpWsyPAhuSUz9Mps6nxx6JWZt+nYsSMvf3eCehBx0XMqKirY8e+oqCiVydaahaj4ICYMNE0jIiIC4eHhSE1NRZcuXRAUFITu3bvzxsba4LO4MJSUlOCnn37C3r17oVAoMHnyZMyZM4dXSS3FYjE7NMssZ2cWjdTsAHXq1Eln83wEzUPERc8oLy9HVFQUuy/hxWWizPJgPi4TpWka//77L8LCwpCWloauXbsiKCgI3bp1452ttaEP4sJQWlqKPXv2YM+ePZDJZKzI8DGZpVgsxv3799mh29jYWHa5e81FJZ07dyZio0cQceE5L+45SElJAU3TaNOmjUovj88b3Giaxt27dxEeHo60tDR4enpiwoQJ8PT05Nq0eqFP4sJQVlbGikx1dTUrMnxOYsls1I2IiMC///7Lig2zUZfZ1EnEht8QceEZpaWlbFQSGRmJlJQUAM9Tc9TsxbVt25ZjS98MTdO4c+cOwsLCkJ6ejm7duiEoKEjvRIVBH8WFoby8nBUZiUSCSZMmYe7cuWjVqhXXpr0RiUSCBw8esB2sF1MMMcO/mk4xRGgYRFw4hkkqyCwNrplUkBESb29vvRATBpqmcfv2bYSFhSEjIwM9evRAUFAQunTpwrVpDUKfxYWhoqICe/fuxe7duyEWizFx4kTMmzdPrzIkM8lRmU2dMTExqK6uhoWFhUrWiIZm2iY0DCIuOqaoqAiRkZFsdPJiOnTmT58edgaapnHz5k2Eh4fjyZMnjUZUGBqDuDBUVFRg37592L17N0QiESZMmIB58+bpZWZkpqwDE+1HR0erlHVgxKZLly5EbHQIERctU1hYqDLMxRRy6tChg8owF5/HwN+EUqlkRSUzMxNeXl4ICgqCu7s716ZplMYkLgyVlZXYv38/du3aBaFQiMDAQMyfP1+vIuUXkclkKjWEoqOjIRaL0bRpU7aGUO/evdUuSEeoG0RcNExBQQE7xBUREcHWO3d0dGSFxMfHh5erduqLUqnEjRs3EB4ejqdPn6JXr14ICgqCm5sb16ZphcYoLgxVVVX4+eefsXPnTlRWVrIi0xjS7stkMiQkJLBzNi+W0mbmbOpbSpvweoi4NJD8/Hw2KomMjMSTJ08AAM7OzipzJnzaZ9BQlEolrl+/jvDwcDx79gze3t4ICgqCq6sr16ZplcYsLgxCoZAVmYqKCowbNw4LFixAu3btuDZNY8jlciQmJrJzNlFRURCJRDAzM4OXlxf73Hp6esLIyIhrc/UWIi71JDc3lxWSyMhIZGZmAgA6derERiXe3t682BmtaRQKBf755x8cOXIEWVlZ8PHxQVBQEDp37sy1aTrhbRAXBqFQiAMHDmD79u0oLy/HuHHjMH/+fDg4OHBtmsZRKBRISEhgRxuioqIgFAphamoKLy8vdvja09MTxsbGXJurNxBxeQM5OTkqVfuePXsGAHBxcVEREy5zOWkbRlTCw8ORnZ0NX19fBAUFwcXFhWvTdMrbJC4MIpGIFZmysjKMHTsWCxYsaJQiw6BQKJCUlKQyIlFVVQUTExP07NmTHUbr1q0bEZvXQMTlBbKzs9mbKiIiAtnZ2QCAzp07qwxz6aKOBtcoFApcvXoVR44cQU5ODt555x0EBgaiU6dOXJvGCW+juDCIxWJWZEpKSjBmzBgsXLgQHTp04No0raNQKPDw4UN2U+e9e/dQUVEBExMTdO/enRWb7t27w8TEhGtzecNbLS40TSMrK0slHM7OzgZFUXB1dWXD4V69esHKyoprc3WGXC5nRSU3Nxd9+vRBYGDgW9egvsjbLC4MYrEYoaGh2LZtG4qLizF69GgsWrQIjo6OXJumMxQKBVJSUtgFAlFRUSgvL4exsfFLYmNqasq1uZzxVokLTdN49uwZe0NEREQgNzcXFEXBzc2NjUx69eqllVrlfEcul+PKlSs4evQocnNz0bdvXwQGBsLZ2Zlr03gBEZf/IZFIWJEpLCxkRcbJyYlr03SOUqlkxYYZRisrK4ORkRErNj4+PujRowfMzMy4NldnNGpxoWkamZmZKkuD8/PzIRAI4O7uzu7m9fLyeivFhEEul+Py5cs4duwY8vLy0K9fPwQFBb1VvdG6QMTlZaqrq3Ho0CFs3boVBQUFGDVqFBYtWvRW+0epVOLRo0dsZBMZGYnS0lIYGhqiW7durNh4eXk1arFpVOJC0zSePHmiMgFfUFAAgUAADw8PdpjLy8sLFhYWXJvLOXK5HJcuXcLRo0dRUFCAAQMGYPz48URUXgERl1dTXV2NsLAwhISEID8/HyNHjsTixYvf2vm5miiVSqSlpSEyMpJd/lxSUgIDAwN069aN3dTZs2dPNGnShGtzNYZeiwtN08jIyFAJRwsLC2FgYAAPDw+VHoK5uTnX5vIGuVyOixcv4tixYygsLET//v0RGBj4VkzONgQiLm9GKpWyIpObm8uKzNu2svB10DSNx48fs5FNREQEiouLYWBggK5du7JzNl5eXmjatCnX5qqNXouLXC6Hl5cXpFIpunbtyi4N1vcfRdscOXIEhw4dwsCBAxEYGIj27dtzbZJeQMSl7kilUhw5cgRbtmxBRUUFEhMTG1WvXJPQNI309HSVYbTCwkJ8+eWXmD59OtfmqQ0vxWXHjh116ukoFAooFAoYGRnVu5ZJaWkpxowZo66JvCMsLKzOw1lyuRxyufyllSzV1dWvXUpZXl6OESNGNMhOvnHkyJE6R2xCoRBJSUlwd3d/beflRT9WVFTg3XffbaipvGHDhg11zhtH0zQUCgUMDQ3ZlCt1obi4GBMnTmyImbyjru0a8DxljUAgqDXRJtNk19bm8ald42UinbS0tDcq9k8//YSYmBjs3btXrWssXLiQNz+CJsjMzMTYsWMbdI4vvvgCW7ZseWXKix9++KHRiUtmZiY+/fTTOn1WqVTC19cXpqamryxSpVQqsWDBAmzdupV9bd26dY1KXFJSUjB//vx6HzdkyBCcOHGiThuOp02b1ujE5dGjRxqJRPbs2QOKojBt2rSX3luwYAFv2jVeiguA1+b0oWkaO3bsAE3Tr1T3tw2KohqUdK+oqAgZGRm4dOkSPvzwQw1axm/q67c37ch++vQpMjIyYGBgwNvKoA2Foqh659zKyclBcnIy1q5di23btmnJMn6jjt9qY9euXRAIBJg9e7YGrNIeelkjVCKRgKZpNGnSBJGRkVyb0yg4cuQImjRpghMnTnBtil4TFxcH4PmcA+F/HDp0CLa2tjh58iTXpug9MpkM1dXVXJvxRvRSXMLCwtCuXTuMHDkSW7Zs4docvUAikeDp06evfP/WrVuYMGECioqKdGhV4yMpKQnA8zo+hP9x8uRJzJgxg4huA+HhFPkr0Utx2bVrF5YvX47PPvuM7SkSXs/KlSsxb968V96c5eXlGDJkiF7dvHyEEXCmjg/hOU+fPmWHW8k9pj5Pnz7Vm2kAvRMXsVgMoVCIfv36wd7eHkqlkmuTeA9N02yd8ddFL5aWluznCepRVFQEiqKQmprKtSm8QqlUsjVhyDOrPj/++CMGDhwIgP/PKa/FhaZp0DQNmUyGqqoq5OTk4IsvvkC/fv0gEAjYCVO+O5lrEhMTYWxsjJ49eyIsLOyVn2usE9DagKZpSKVS5OXlqdx/YrEY9vb2SEtL49A6fiIQCCAQCNiyFYT6QdM0rl27hm+//RbAc5EuKSnh2KpXw9vVYsePH0dubi5yc3NRUFCA0tJSVFVVwcbGBr/88gv7OYFAgOzs7EZRjlVbrFu3DpMmTUKbNm2wcePGl95/cd28UCh8qzIa1KVzolQqIZfLUVVVhcLCQiQkJODu3bvIzc3F6tWr2eSecrkcPj4+uHHjhrbN5h01/Vizo1Lz/mrfvj3+/PNPzJkzR+f26Ss0TSM/Px+3b98GAHbTs1gsxqhRo3D16lVedgx5Ky6XLl2CnZ0d2rZtCy8vL9jZ2aFVq1bo0KGDygY1Dw8PHDhwAEuXLuXQWv6iVCpRUFCAkSNHQigUQigUvvQZmUzG/r+ZmRkePnyIXr166dJMTgkPDwfwv0gZ+N8GXalUiurqalRVVaG0tBQVFRUQCARo3bo1/P398fTpU2zevBk7d+5kz9GtWzf88ccfnH0fXUHTNORyOcrKypCeno7Y2Fg8fvwYrVq1woIFC9gGr+Yw2MiRI/Hrr78ScakDjKgcO3YMp0+fhp2dHbZs2QKKokBRFAoKCpCVlQW5XM7Lcsy8FZeffvqJ3X/wOlWeNWsWvvrqKyIur+D333+HtbU1DAwMXhmNZGVlsZOEHTt2xM2bN98qcSkoKGAfWOD5/SYQCGBoaAhjY2NYWlqiQ4cOsLa2Rtu2bWFtbQ0LCwsIBAKUlpbizJkzKudzcHBQEezGyKlTpxAfH4+kpCS21LeTkxNcXFywe/duGBgYYN68eQCA/Px81reffvrpW7vP5U3QNA2lUgmhUIjU1FRcuHABly9fRocOHfD999/D29ub3WdlbGyMmJgYAM/n+Vq3bs2l6bXCW3GpqxL3798flZWVKq/dvHkTrVu3fivzP9UcmqisrMT+/fvZ3eKvEumIiAj25hwwYAB+/fVX7RvKIxYsWPDGz7zKd82bN39pWO1tKCz3888/o3Pnzhg+fDi6dOkCR0dHWFlZwcDAAOPGjUP//v0xYcIEtGjRAjdu3ICNjQ2A5wKkUCg4tp470tLSoFQqIZPJIBKJIBKJIBQKUVFRgezsbKSlpSEzMxNSqRQ9evTAunXr0LNnz5c271paWrLRcWpqKhEXbcCIEE3ToCgKNE1j+vTpaNq0KSIjI3k5Fqktzp8/D6FQiMrKSlRUVCA+Ph7e3t6syNZcAFHTLzdv3kTv3r0BAL6+vti1a5fujeeQhtwjtR3bkEwJ+sJvv/0GExOTWr+/q6srPvjgA0yZMgWnT5/G77//jn79+gEAmzbnxXvwbWHGjBlslMxExqampjAzM0Pr1q3h5eWFoKAgdO7cGS1atHhlmqFWrVqxG8gTEhLYFWR8Qu+fAuZHevjwIdzc3HD//n0YGBhAoVDg4sWLjSqn05u4efMmmjRpAgsLC1haWmLUqFEYOnToSw/xiw/2kydP8NVXXwEAbG1tyeo7Najp07eh0XxT+d6tW7eiQ4cOoGkaERER+OmnnwA8902TJk1w+/ZtVnDeJg4dOsQOuRoZGcHQ0BCGhobsa0Dd7p8OHTogPj4eANj/8g29FxcA+Oijj7Bq1SocPXoUq1evxrhx49C3b1/MmzcPw4YNeysedgBYvXr1S3MHtVFZWclW3mSy1jJ7EF4V3RBej1KpfGlz29vsw6ZNm8LY2Bj3799HZWUl+vbty763fPlyzJgxAwkJCRxayA1t2rTRyHmYImyurq5IT0/XyDk1Da/3udSVxYsXIyYmBjRNIzExETNnzsSAAQMglUrx4MEDrs3TGQYGBuz+n1c1ak2bNmVTlDBFw4D/DVcwx/J5/TwfqW0Vnlwu58ASfkBRFL766is2c2/NEgXBwcHIy8tDWVmZyjEkYq47nTt3BgB8+OGHKCgo4Nia2mkU4tK8eXNQFMUquJWVFSiKwqpVqzBt2jRy09agc+fOuHnzJgBg8+bNOHXqFMaPH68iRq6urq/dbElQxdDQEPn5+SgvL2dfMzY2RkpKCodWcc/s2bORmZmJnj17qtxfBgYGCAgIUMnqW1VVhbVr13Jhpl7CRC79+/eHWCzm2JraaRTiQlEUZs+ejQkTJqB79+7sjTxq1CgAIA1lDfr374/Y2FgAwJUrV7Bx48aX6mbMnz8fFy9exMOHD3HlyhVcu3aNRDKvwdzcHLGxsVi4cCH7Ws+ePXH69GkOreIeIyMjbNq0CceOHXvpvW3btuHSpUvsv+fOnYstW7a81SvJ6oOdnR0AoF27drxNp9MoxAV43kuaNWsWfv75Z/Y1iqIQGhqK77//XqVX+TbTs2dPlJSUsNFcs2bNXhpCc3BwQN++fbFx40acO3cOZ86cwZdffsmFuXpB69at8ddffyE3N5d9bezYsbh37x6HVvEDZjnyi1hbW6tsWv3zzz/RqlUr7N+/X9cm6iVGRkbo3bv3GxdWcEmjmNAHns8ZBAUFvfS6q6sr/vOf/+Czzz7DyZMn39oJVgZmNVjNjW0vQlEUvvnmG1RVVcHMzAw0TePx48c4deqUjq3VDzp27Ijk5OSXXpPJZG/9kOzr7jEmdVPbtm1B0zT279+PTz75pNYKiwRVKIrCzz//zOv2rNFELq+Coij88MMPePz4Mc6dO8e1OZzDTNyfP38eDg4Or/ycgYEBmjVrBmNjY5iYmNS5ZvrbCDO5WhPGzxKJRNfm6A29evXCli1b2FEFX19fSCQS3s4h8A1jY2NWXJgsCXyi0YsL8DyE3LNnD7788staV/W8TTA34+XLl9+qcsbaxNHRsdbX27Rpg99//123xugR3333HU6cOIHQ0FA4OjqyiS0PHjzItWl6hampKUaNGsW76pRvhbgAgI+PD/r3748ZM2a89UMVAFBcXIwBAwZwbUajoG3btuz/1xymmDFjBinr+xp69+4NkUiEXbt24euvvwYAfPvtt2y6IkLd+OWXX2BiYsK7BSRvjbhQFIVt27YhNjYW//zzD9fmcArTANbce0BQHyMjI9jY2MDQ0FAlOWiPHj0wYcIEDi3jNwYGBqAoCsXFxXj//fcBAO+//z6GDBnCsWX6hbe3NyZPnow9e/ZwbYoKvBUXZiWJJv+MjY2xbds2bNiwgeuvpxXq6ocRI0bAz8+vXsc05mivofcVAISEhMDPzw/+/v7s6wKBoNEOPWrqmZw7dy66dOkCY2Nj9hllyhc0RrTRrtE0jU8//ZTrr/YSvFwt1rx5c1y+fFlr5w8ODkZRUZHWzs8FlpaWuHPnTp0+26NHD9A0XefPMzAFsRoTlpaWuHv3rkbO1bNnTwB46XxOTk4aOT9faNGihcYWx3Tv3h2urq4vna9Lly4aOT+f0Ha7NnPmTBQWFmrt/PWFonnYJdVF2gyKol7KBaXP6GrzWWPyGUD8pg7k+VSPt81vvBSX+sDURjAyMnplemqCKkqlEhKJBKampsRn9UChULB+48sDzHeYxKjM/AqhbjSGdk0/ra5BcnIyunbt+tImNsKrSU9Px8iRI3mbTZWvZGRkYPTo0cjIyODaFL0hPj4erVq14m1aeL6SnJwMDw8PvW7X9F5cCAQCgcA/iLgQCAQCQeMQcSEQCASCxiHiQiAQCASNQ8SFQCAQCBqHiAuBQCAQNA4RFwKBQCBoHCIuBAKBQNA4RFwIBAKBoHGIuBAIBAJB4xBxIRAIBILGIeJCIBAIBI1DxIVAIBAIGoeIC4FAIBA0DhEXAoFAIGgcIi4EAoFA0DhEXAgEAoGgcYi4EAgEAkHjEHEhEAgEgsYh4kIgEAgEjUPEhUAgEAgah4gLgUAgEDQOERcCgUAgaBwiLgQCgUDQOERcCAQCgaBxiLgQCAQCQeMQcSEQCASCxiHiQiAQCASNQ8SFQCAQCBpHr8WFpmmUlpZCJpOhtLQUNE1zbRLvoWkaJSUlEIvFKCkpIT6rI8Rv9Yd5PpVKJXk+6wHjN7lcrt9+o/WQ0tJSOiQkhHZ2dqYBsH/Ozs50SEgIXVpayrWJvIP4TD2I3+oP8Zl6NDa/6Z24XLhwgW7atClNURRNUZTKj8C81rRpU/rChQtcm8obiM/Ug/it/hCfqUdj9JteicuFCxdoAwMDWiAQqDj/xT+BQEAbGBjo1Q+hLYjP1IP4rf4Qn6lHY/UbRdP6MaBXVlYGe3t7iMViKJXKN35eIBDAzMwMWVlZsLKy0r6BPIT4TD2I3+oP8Zl6NGa/6c2EfmhoKEQiUZ1+AABQKpUQiUQ4dOiQli3jL8Rn6kH8Vn+Iz9SjMftNLyIXmqbRqVMnpKen12vlBEVRcHJywqNHj0BRlBYt5B/EZ+pB/FZ/iM/Uo7H7TS/EpaioCLa2tg063traWoMW8R/iM/Ugfqs/xGfq0dj9phfDYlVVVQ06vrKyUkOW6A/EZ+pB/FZ/iM/Uo7H7TS/ExdzcvEHHW1hYaMgS/YH4TD2I3+oP8Zl6NHa/6YW4WFtbw9nZud7jixRFwdnZGS1atNCSZfyF+Ew9iN/qD/GZejR2v+mFuFAUhTlz5qh17Ny5c3k96aUtiM/Ug/it/hCfqUdj95teTOgDjXs9uLYgPlMP4rf6Q3ymHo3Zb3oRuQCAlZUVTp06BYqiIBC83myBQACKovDbb7/x/gfQJsRn6kH8Vn+Iz9SjUftN1ykBGkpdc/BcvHiRa1N5A/GZehC/1R/iM/VojH7TO3Gh6efZQ7du3Vpr9tCtW7fSZWVlXJvIO4jP1IP4rf4Qn6lHY/ObXooLg1KppK9cuUIDoK9cuUIrlUquTeI9xGfqQfxWf4jP1KOx+E1v5lxqg6IoduzRysqK96sn+ADxmXoQv9Uf4jP1aCx+02txIRAIBAI/IeJCIBAIBI1DxIVAIBAIGoeIC4FAIBA0DhEXAoFAIGgcIi4EAoFA0DhEXAgEAoGgcYi4EAgEAkHjEHEhEAgEgsYh4kIgEAgEjUPEhUAgEAgah4gLgUAgEDQOERcCgUAgaBwiLgQCgUDQOERcCAQCgaBxiLgQCAQCQePorbhUVVUhNTUV8fHxAIC8vDxIpVKOreI/VVVVyMzMBAAkJyfj2bNnxG9vQCaTITs7G8nJyQCAx48fo6SkBEqlkmPL+A251+pPY2rXKJqmaa6NqA/p6enYv38//vjjDzx79gwymQzV1dWwtLREjx49MGnSJHz88cewsLDg2lReUdNvmZmZEIvFMDY2RtOmTdG1a1fit1ooKyvDqVOnEB4ejsTERFRWVkIqlcLU1BS2trbo378/pkyZgr59+8LQ0JBrc3kDudfqT2Ns1/RGXBQKBY4ePYpvv/0WYrEYw4cPh7+/P9q3bw+lUom0tDScP38e165dQ8+ePbF9+3a4u7tzbTbnEL+px927d7FgwQLExcXB29sb7733Hjw9PWFubo6ysjJER0fjzz//RFpaGsaMGYM1a9bA1taWa7M5hdxr9adR+4zWAxQKBb1z5066adOm9PDhw+kHDx7QcrmcvnPnDr1161Z669atdHJyMi2VSunr16/TvXr1ojt37kzHx8dzbTqnEL+px8WLF+nWrVvTnTp1ok+ePEmLRCK6rKyM/umnn+itW7fSBw4coMViMV1RUUHv3buXbtOmDe3v70/n5eVxbTpnkHut/jR2n+mFuFy7do22srKiP/nkE7qkpIRWKpU0TdP0kiVLaAA0APrw4cM0TdO0UqmkMzMz6T59+tD9+vWjS0tLObScW4jf6k9KSgrt6OhId+nShU5ISGB99vjxY7pZs2Y0ANrR0ZEuKSmhafq5327cuEHb29vTQUFBtEQi4dJ8ziD3Wv1p7D7j/YS+WCzGqlWrYGdnhy1btsDKygoURb3y8xRFoV27dti+fTtSU1MRFhamQ2v5A/Fb/VEoFFi7di1KS0uxY8cOuLu7v9ZnwHO/9evXD+vXr8eZM2dw4cIFHVnLH8i9Vn/eBp/xXlyio6Px77//YtasWWjbtu0bH3bg+Q/RvXt3fPrppzh48CBEIpEOLOUXxG/1Jy0tDX/++Sc+/vhj9OvXr04+A5777aOPPkLv3r2xb98+yOVyLVvKL8i9Vn/eBp/xfonLP//8AxMTEwwdOhTJyckqD25+fj77/0+fPkVcXBz7bysrK3z00UcICwvDkydP9GcSTEMQv9WfO3fuoKqqCqNGjcKTJ08gFArZ97KysqBQKAAAUqkUiYmJsLS0ZN9v06YNPv74Y6xYsQJ5eXmwt7fXuf1cQe61+vNW+Izrcbk3ERQURLu4uNCpqal0+/btaVNTU/bP0NCQHZs0MjJSeW/y5Ml0RkYGbWNjQ58/f57rr6FziN/qz1dffUVbWVnRycnJtJ+fn4pfTExMWJ9RFKXynpmZGb1r1y765s2btIWFBR0REcH1V9Ep5F6rP2+Dz3gdudA0DYlEAhMTExgYGEAikUAikdT6WZlMBplMxv5bKpXC2NiYPe5tgvhNPcRiMQwNDWFiYoLq6upXfn/GvzWRy+UwMzMDTdOorq7Whbm8gNxr9edt8RmvxYWiKNjY2CAyMhIKhQKDBw9GWVkZ+/6jR4+Qnp4OAOjatSvatGnDvufp6YmysjIIhUIcOHAAWVlZcHd3h4eHB1q2bFnn8XR9RBN+k0gkaNq0qa5N55SWLVtCLBajrKwMvr6+Kt9fLBbjzp07rIj06dOH3ThJURTat2+PgoICCAQCNG/enKuvoFPkcjkePnyIoqIilJWVqX2vVVdXo0WLFro2X6dUV1cjNTUViYmJSEpKQnR0NORyeaP2Ga/FBQC8vLwQGhqKvLw8hIeHq7y3bNkyrF27FgCwePFiBAYGsu9RFIXDhw/DyMgIrq6uuHPnDk6ePAkAsLa2ZoXG3d0dnTt3homJie6+lA5oqN8oikJ6ejouX76MVq1aoVWrVrC2toZAwPs1IGpRVlYGsVgMiUSCyMhIrFu3TuX99PR0eHt7o7y8HHZ2djh+/DisrKzY9ymKwrfffouWLVs26vmWoqIi3Lt3D/fu3cP9+/chEolQVVWFwsJCte81U1NTODs76/R7aBOappGXl4ekpCQkJCQgKSkJaWlpkMvlMDU1haurK/r27YtTp041ap/xXlyGDBkCCwsLhIaG4p133lFJs1GzoRMIBDAwMGD/LRKJcOjQIfj5+WHt2rUwMDBAaWkpkpKSkJSUhMTERBw8eBASiQQGBgZwdnaGh4cHKzitW7fW6+hm8ODBMDExUdtvQ4YMwbBhw1BYWIgnT54gJSUFhoaGsLOzg52dHVq1aoUmTZro9DtpGqVSiQcPHuDy5cuIioqCTCaDjY0NQkNDMW7cOJUJ+5o+oihKxW80TSMnJwcnT56Ej48Pm/LExsYGRkZGOv9emkQulyMxMZEVlCdPnoCiKLi5uWHUqFHw9vaGQCBAnz591L7X+vXrh1atWun0e2kSiUSClJQUNipJSEhAaWkpAKBt27bw8PDA8OHD4eHhAScnJxgYGCA9PR2XLl1q1D7jvbh06NABgYGB2L9/P0aOHIkRI0a8sdFXKpU4ePAg7t+/j99//539cZo3b46+ffuib9++AJ7va8jIyGDFJioqCqdPn2Y/WzO6cXV1hampqXa/rIYoLi7GoUOHYGVlhePHj6vttw4dOqBDhw6gaRplZWXIy8tDXl4e7t+/D5qmYWlpyUY1NjY2ehPVlJSU4MqVK/j7779RWFgIBwcHTJ48GQMGDEBoaCgWLVqEbdu24ZtvvqlTzrDq6mqsXr0aYrEYixcvhqWlJXJycpCdnQ0rKyvY2trC0tJSbzorBQUFiIqKQnR0NGJjYyEWi9G8eXN4eXlh3Lhx6NGjh0qOK6VSqfYzeuvWLSxZskRv7h2mI5GYmMiKSVpaGpRKJczMzODm5ob33nuP7ag2a9as1vNosl3jK7wXF4FAgK+++gq3bt3CzJkzceDAAQwePBgCgQACgQCGhoagKAoURYGmaSgUChw7dgzLly/HzJkzWSGpDQMDA3Ts2BEdO3bEBx98AACoqKhgxSYxMRFhYWEQiUQQCARwcnJixcbDw6PO69N1BU3T+Pvvv7F3716YmJhgx44dWLlyZYP9RlEUmjdvjubNm8PNzQ1SqRQFBQXIy8vD06dPkZqaCkNDQ9ja2rJiw7f5GqVSifv37+PSpUuIjo6GkZER+vXrB39/f3Tq1In9HYODg3Hjxg2sW7cOTZo0wcyZM9lOhaGhIQwNDVUilsrKSnz//fc4duwYtmzZgp49ewIA2rdvj+LiYhQWFiI1NRXGxsawtbWFjY0NjI2NuXHCK5DJZIiPj2ejk2fPnkEgEMDd3R2ffvopvL294eTk9Mp7vSHPaLdu3bB37148fvwYP/74I+9642KxGMnJySptQnl5OYDnv7GHhwfef/99eHh4wNHRsc4iqc12jS/oTeLKpKQkTJgwAU+ePMHMmTMxefJkKJVK5OTkAAAcHR1RXl6OXbt24ejRowgKCsL69esbPHSjVCrx5MkT9uZKSkpi04hbWlqyQuPh4YHOnTtz1qgWFhZi27ZtiI6OxtChQzFt2jSYm5vrxG81o5ri4mLQNA0LCwuVqIarXlZRURGuXLmCK1euoKioCI6OjvD398eAAQNe+R0LCwsxe/Zs/PXXXxg2bBgWLFgANzc3pKSkQKlUwtjYGB07dkRkZCQ2btyI2NhYrFq1CjNnzqz1ewqFQhQWFqK4uBhKpZKNZpo1a8ZZ5yQvLw9RUVG4d+8eHjx4gOrqalhbW6NXr17o1asXevToUe97Wd177c6dO/jmm28gFouxfPlyjB49mhO/0DSNZ8+esc95YmIiMjIyoFQq0bRpU7i5ubHPupubm8qwqbrU1Wc7d+7EsWPHNNau6QK9ERfg+Ua2YcOG4fHjx7CwsIC7uzvatWsHhULBzgtYW1vj66+/xoQJE7Q2SV9ZWYmHDx+qhMZCoRAURcHR0VFlOK1du3ZaDflpmsalS5ewb98+mJmZYc6cOfDx8VH5THZ2NlavXo3jx4/D0NBQq36TyWRsVJOXlwexWAwDAwOVqMbc3LyhX/u1KBQKxMTE4NKlS4iJiYGJiQn69++PgICA1/bAayIUCrFv3z5s27YN+fn5cHJyQqdOnWBhYYHS0lKkpKQgJycHXl5eWL58OQYOHPjG31mhULDRjEgkgrGxMWxsbGBra6v1aEYqlSIuLo6NTrKzs2FgYAAPDw9WUDp06NDgRl3de628vByrVq3CiRMnMHDgQKxbt05llZQ2EAqFSE5OVnmOKysrQVEUOnTooPIcOzg4aO05rovPFAoFFixYgP/+9796s/hIr8Tl7t27WL58OaZPn460tDRERkaioKAARkZGcHR0xODBgxEQEICWLVvq1C6lUvlSj+fJkyegaRrm5uZwd3dnb1Q3NzeNNa6FhYUICQnB/fv3ERAQgM8///yVvU2FQoHk5GScPXtWp36rqKhAbm4uG9UolUqYm5uzQmNra6uxqKagoICNUkpKSuDs7Ax/f3/0798fZmZmap0zLy8PV65cwfXr15Geng6JRILmzZujS5cuCAgIgK+vr1q9yBejmWbNmsHW1vaNOabqCjM3wIhJXFwcpFIpbG1t0atXL3h7e6Nbt25a6QE35F67du0avv76a1RVVWHJkiUYN26cRvyhVCrx9OnTWp9RpqNaMyrR9QjE63w2aNAgPH78GMbGxvjvf//Lq6H416E34kLTNGbPno2mTZtiw4YN7GsKhQIURfFucksoFLLRDbNCraKiAgAa3CuiaRrnz5/Hzz//jKZNm2LevHnw8vKq1/Fc+E0ul6tENSKRCAYGBrCxsWHFpr7FkBQKBaKionD58mXExsbC1NQUAwYMgL+/P5ycnDRqv0KhAE3T7Li4JlAqlWw0IxQKYWRkxM7N1LeHKpFI2OgkKioKeXl5MDQ0RJcuXVhBadeunU4bJ3XutcrKSqxevRrHjh1D//79sX79erRt27Ze162srERycjK7FJgZXRAIBCqjCx4eHrC3t+fVgoLafJaamorNmzdj5syZ6NatG8cW1g29EZfbt29j1apV2LBhAzw9Pbk2p97QNI2srKxXjue6urqyYuPu7v7K8dy8vDxs3boVDx48wPDhwzFlyhS9GH+tjYqKCuTl5SE/Px+FhYWsL2pGNa9arZWfn4+///4bV65cQVlZGVxcXODv74++ffvqzaq+FxGJRGw0o1Ao3hjNMPcUs7IrPj4eMpkMdnZ2rJh4enqqHbVxzfXr1/H111+jvLwc3333HcaPH1+rCCiVSpVVn4mJiXj69CmA5/OiXbp0YcXE1dVVb5+XzZs3QywW49tvv9WL6EUvxIWmacycOROWlpZYv3491+ZoDLFYjIcPH9a6EqVdu3YqK9McHBxw4cIF/PLLL7CwsMD8+fPRo0cPjr+B5pDL5exGvLy8PLaXWTOqadKkCSIjI3Hp0iXExcWhSZMmGDRoEPz9/eHg4MD1V9AYSqUSJSUlKCwsRFVVFYyMjNi5GaVSidjYWERHRyMqKoodPvH09GTnTvi2irEhVFVVYc2aNThy5Aj69OmDDRs2wNLSUqWTlpycDLFYDIFAoLJfzcPDA23atGk0vmCilxkzZqB79+5cm/NG9EJcbt26hdWrV2PTpk3o0qUL1+ZoDZqmkZubq/LgpKWlQSKRIC8vDzRN45133sHnn3+OHj16qOwQb2xUVlYiPz8feXl5SE1Nxf3795GcnAylUgkPDw98+OGH6N+/v95MbqqLSCTC/fv3cfv2bbZHLhAI4ODgAG9vb/Tq1Quenp6N1g8KhQLp6ek4efIkdu/ejbKyMrRu3Rp2dnZo0aKFysZnfdqLpi5btmxh56P4Lpq8FxcmarGyssKPP/7ItTk6haZp9qFSKpVwcXFBUVERSkpKADxP814zunFycqrTpj99QCaTISIiApcuXUJ8fDwMDQ3h4eEBZ2dnmJmZsfnTmKjmVZvV9BFGUJjJ+KKiIhgZGcHFxQWOjo5wdHRE69at2WimMTWopaWlKp2rhw8fslk0HBwckJ2djdjYWPTu3Rvbtm1Dhw4duDZZp6SlpWHjxo2YPn0670cueC8uN2/exJo1a7B582Z4eHhwbY7OyMnJQUhICBISEvD+++8jODiYzbqbn5+vsu/m0aNHkMvlMDExgaurq8piAb4nt3uR7OxsXL58GdeuXUNlZSXc3d0REBCA3r17s8t1q6qq2KimoKAACoUCZmZmrNC0bNlSr9Ku0DSNjIwMdiI+OTkZCoUC9vb27NxJly5d2O8vFovZuRm5XA4LCwvY2tqiefPmvJqYfhNyuRyPHz9mh4QTExORm5sL4Hn+v5rDWy4uLmx0dufOHXz55ZcoLCzEN998g+DgYL363g0lJCQElZWVvI9eeC0uNE1jxowZaNGiBX744QeuzdEJSqUSZ86cQWhoKKytrTF//nx07dr1tcdIpVKVjKuJiYkoKioCALRq1UpFbDp27Mi7hlcqleLu3bu4fPkykpKSYGFhgcGDB8Pf3/+Nq4QUCgWKiorYhQEVFRWgKArW1tas2PBx+FAoFCImJoaNTkpKSmBqaopu3brB29sbXl5eb9ytrlQqUVpaisLCQlRWVsLQ0BDW1tawtbXl5SR+UVGRyvxiSkoKpFIpjIyM0KlTJ5UhrjdlLhcKhVi/fj0OHDgAb29vbNy4EY6Ojjr8Ntzx+PFjbNiwAdOmTWMzQvARXovLjRs38P3332PLli38rrimIbKysrBlyxY8fPgQH3zwASZNmqT2kEdhYaGK2KSmpkImk8HIyAidO3dWGU6zsbHR8DepG8+ePcPly5fxzz//oKqqSmXviLoCKBQKVaIaJhNtq1at2KSbXKRfoWkajx8/ZqOThw8fQqlUon379uzciYeHh9rfWyKRoLCwEEVFRZDL5TA3N0fLli05i2ZkMhkePXqkskGRqbDYsmVL9v7r0qULOnXqpPb3joiIwOLFi5GXl4evvvoKn332Ge+2JWiDrVu3ory8HEuXLuVt9MJbcVEqlZg+fTpsbW3Z9NONFaVSid9++w1hYWGwsbHBggULND4EKJPJkJaWpiI4zMNua2ur0mt0cXHRWnRTXV2NO3fu4PLly3j48CEsLS0xZMgQDB06VOM7spVKJRvV5OXlsVFNixYtVKIabT2cFRUVbHQSExOD0tJSmJmZoXv37mx0oumNqzRNs9FMRUUFu49I29FMQUGBSlRSszNTc5m9NjozYrEY69evxy+//IKePXti48aNvE9H31CY6OXzzz+v1x43XcJbcfnnn3/www8/ICQkBG5ublybozWePXuGzZs3IzU1FSNHjtRq2poXKSoqUkl/UXOYomPHjioNQkMLrGVmZrJRikgkgqenJwICAuDj46OzRQgikYiNavLz89l5KqaEgJ2dXYN8T9M0UlNT2WXCKSkpoGkajo6O7DJhd3d3nX3f6upqNpqRyWQwNzeHra0tWrRo0aBoRiqVIiUlRUVMag7D1pwrcXZ21tkw7L1797Bo0SJkZ2dj8eLF+Pzzzxt1FLNt2zaUlpZi6dKlvJxz4qW4MFFLy5Yt8f3333NtjlZQKBQ4deoUwsPDYWdnxyZH5BJmgrXmYgEmgR4zwcqITc0J1lchkUhw+/ZtXL58GampqbCysoKfnx/8/Pw4z37L7IzPz89Hbm4uu7+oZlTTvHnzNwpqeXk5oqOjce/ePURHR6OiogJNmzZFjx49WEGxtrbWxVd6JUzJhMLCQpSXl8PAwICdm3nThkJmAUnNSXem8BWzgKTmfcH1AhKJRIJNmzZh37598PT0xKZNm9CpUydObdIWGRkZWLduHaZOnYpevXpxbc5L8FJcrl27hh9//BHbtm1D586duTZH42RmZmLz5s1IS0vDqFGjEBQUxLs07AxMgTVGbGouDe3YsaPKYgGmwFpGRgYuXbqEGzduQCKRoHv37vD394e3tzdve5JisVglqpHJZDA2NmajmlatWsHExARKpRIpKSnsRPyjR49A0zScnZ1ZMXF1deXtkvAXo5mmTZvC1taWrTL6YuGrxMREduk7U/iK+b35vPQ9JiYGixYtwtOnT7Fw4UJMnz6dt7Y2hO3bt6O4uBjLli3jXfTCO3FRKpWYNm0aWrdujdWrV3NtjkaRy+U4efIkjhw5gjZt2mDBggV6J55MgbWajU9WVhaUSiUUCgX717ZtW4wcORLDhw/XeSLRhkLTNEpKSpCXl4fc3FxkZWUhPT0d2dnZePbsGRQKBVs8y9vbGz179uS8x15fmLmZxMRExMbGIiMjAzk5OcjJyQFFUWzhq5qdBz6uunsd1dXV2Lx5M/bs2YMuXbpg06ZNeve8vYknT57gxx9/xJQpU+Dt7c21OSrwTlyuXr2KdevWYfv27XBxceHaHI2RkZGBzZs3IyMjA5988gnGjx/P22ilrtA0jfT0dJw5cwYXLlxAcXExTE1NQdM0jIyM2PLRNRsofUhNolAo8PDhQ3ZlV2pqKqRSKVq2bIm2bdvCwcEBHTp0YCOaVq1a6cVGRibdUM0VXGVlZVAqlWjZsiXs7e3Rvn17uLu7o2fPnpzW4dEksbGxWLRoETIyMjB//nzMmjWrUUUxO3bsQFFREe+iF16Ji0KhwLRp09CmTZtGE7XI5XIcP34cx48fR9u2bbFw4UK9HwMWiUS4ceMGLl++jIyMDFhbW2Po0KHw8/ODjY1NvQqs8SWRYHFxMTsRf//+fQiFQlhaWsLLywu9evVCz549YWVlxfb4maiGqZVuZWXFCk1DJ8w1AVP4quZvkJ6e/trCVzRNo7y8HIWFhSgrK4NAIGDnZvhWWbS+SKVShISEYPfu3XB1dcWmTZsazfYGJnr57LPPXqrlxCW8EpcrV65g/fr1jSZqSU9Px+bNm/HkyROMGTMGY8eO5d0GxrpC0zQePXqEy5cv49atW5DJZPDy8kJAQAB69OjxxsaUSYFes7GrWWCt5qSwLlKgy+VyJCUlsXMnGRkZoCgKLi4u7L6TTp06vdGO6upqlbma6upqGBkZoWXLlqzY6GJD44uFr5KTk1VKPLyYBPVN30sqlaKoqAiFhYWQSqVo0qQJOzejz9FMfHw8Fi5ciMePH2POnDn44osv9PaZrMnOnTtRUFCA5cuXc96xYeCNuCgUCnz++edo164dVq5cybU5DUIul+Po0aP49ddf4eDggAULFujtunuhUIjr16/j8uXLyMzMhK2tLRulNGSegSneVFNsahZvqjner6kCa4WFhayY3L9/H2KxGFZWVirRSUNK1zKrsnJzc5Gfn4+SkhLQNI1mzZqxQsNMnDeE1xW+YorTMWnmG+o7mqZRUVHBRjPMPiFbW1utVxTVFjKZDNu3b8eOHTvQqVOnRpFaKjMzEz/88AMmT54MX19frs0BwCNx+fvvv7Fhwwbs3LkTHTt25NoctUlLS8PmzZvx7NkzjB07FmPGjNG78V2appGSkoJLly7h9u3bUCgU8PHxgb+/P7p166a1ntGrCqxRFAUHBweV3nf79u3faIdMJkNiYiIrKJmZmaAoCm5ubuzKro4dO2ptDkgqlapENRKJBIaGhipRTV2GBJmo78Wy2roufCWTyVBYWMhGM2ZmZmw0o2/3OAAkJiZi0aJFSElJwezZszF37ly9ngfdtWsX8vLysGLFCl5EL7wQF4VCgalTp8LBwQErVqzg2hy1kMlkOHLkCE6cOAFHR0csWLBA45UQtU1VVRX++ecfXL58Gc+ePYOdnR2GDh2KIUOGoHnz5jq3500F1l6MbiwtLZGfn8+KSWxsLCQSCVq0aIFevXrBy8sLPXv25KTHzcxnMNkCiouLQdM0LC0tWaFhdq4/efJEZV9JzcJXNTcocjlfVXNuhqIoNG/eHC1bttS7aEYmk2Hnzp3Ytm0bnJ2dsWnTJr0sRggAT58+xdq1axEcHIzevXtzbQ4/xOXSpUvYtGmT3kYtTBGfnJwcjBs3DqNHj9abnhxN00hOTsalS5dw9+5dKJVK+Pr6IiAgAF27duXdyi6RSKSyDyM+Ph65ubmoqKhgSxBbWFigR48e8PPzg4+PDxwdHXn3PWQyGfLz85GWloZ79+7h8ePHyM7ORkFBAZRKJUxNTeHi4qIyxMXHlXYymYydm6murtbbaCY5ORmLFi1CcnIyZsyYgQULFuhlFLN7927k5ORg5cqVnEcvnIuLXC7H1KlT4ejoiOXLl3NpSr2RSqUIDw/HyZMn4ezsjIULF+pNfYmKigo2SsnOzkbr1q0xdOhQDB48mPf7GXJzcxEVFcVGJ5WVlRAIBGjWrBnkcjnKy8vZvRovlo/m8rsxha+SkpLY2u5ZWVkAAHNzc7Rr1w42NjawsrJCmzZtVDI768OyYGZuhllBx8zNWFhYcGxZ3ZDL5di9eze2bNkCR0dHbNq0SS8qPtbk2bNn+P777zFp0iS88847nNrCubhcvHgRmzdvxu7du/VqGOnhw4fYsmULcnNzERQUhFGjRvH+4adpGgkJCbh06RIiIiIAAL1790ZAQAA8PDx41ytmqK6uRnx8PCsoOTk5bPEwZu7EwcGBtZ/ZZV4z9xXT4L1YYM3Z2Vlrv9vrCl8xuduYv1atWrH2y2QyFBQUsENoYrEYBgYGsLW1ZcWGz8NPcrmcjWYkEglMTU1ha2sLGxsbvYhmUlJSsGjRIiQkJGD69OlYuHChXlX6/Omnn5CVlYWVK1dy2iZxKi5yuRxTpkyBs7Mzli1bxpUZ9UIqleLQoUM4ffo0XFxcsGDBArRv355rs15LeXk5rl69ir///hu5ublo27Yt/P39MWjQoAatjtIWNE0jOzubnTuJj49nNzEyYtK9e/c6L/F9XYE1U1NTlRIE6hZYe7HwVW152WorfFUXKioqWKEpKiqCUqmEubk5m2yzZcuWvO3YVFZWorCwkE0h07x5c9ja2vLyvquJXC7H3r17sWnTJrRv3x4bN27kbfbhF8nKysKaNWswceJE9OnThzM7OBWXCxcuYMuWLfjpp5/0otBPUlIStmzZgoKCAkyYMAEjR47k7UNN0zTi4uJw6dIlREZGQiAQoE+fPvD394ebmxvvohSJRIIHDx6wgpKXlwdDQ0N07dqVrcZob2+vMburq6tfqjfyYmbfmtHNi3shiouL2eMSEhLYjNKGhoZwcXHRaEbpmsjlcpWoRiQSQSAQqEQ1fByGksvlKC4uRkFBASQSCUxMTNhohs/7TB49eoTFixcjNjYWU6dOxeLFi3lZiO1F9uzZg2fPnnEavXAmLnK5HJ999hlcXFywZMkSLkyoM9XV1QgNDcWZM2fg6uqK+fPno127dlybVSulpaVslJKfn4927dqxUQqfhlKYHeRRUVGIjo5GfHw85HI5WrVqxUYn3bp102lalZo1SZKSklRqkjC71OVyOUpKSlBWVgbgeeGrmkuBO3XqpNOJ4MrKSlZoCgsL2ZV0TMLNli1b8m4oqqqqCgUFBWw0Y2VlBVtbWzRr1oxjy2pHoVBg//792LBhA9q2bYuNGzfyLo/Xi2RnZ2P16tWYMGEC+vbty4kNnInL+fPnERISwvuoJSEhAVu2bEFxcTEmTZqEDz/8kPNVGC+iVCrx4MEDXLp0CVFRUTAwMEC/fv3g7++Pzp078yZKEYvFiI2NZaOTgoICGBsbw9PTk00C2aZNG87tZUQmLi4Od+/eRUJCAiorKyEWi2FoaIimTZuibdu28Pb2hre3t9YLrNUVuVyOwsJCdm9NVVUVBAIBbGxs2KiGT8NRTDRTWFgIsVgMExMTtrAZ176sjcePH2Px4sWIiYnB5MmT8dVXX/EiddGr2LNnD54+fYqVK1dy0sHgRFzkcjkmT54MV1dXfPfdd7q+fJ2QSCQ4ePAg/vjjD3h4eGD+/PlvrOeua0pKSnDlyhVcvnwZRUVFcHBwQEBAAAYMGMCLXFA0TSMzM5ONThITEyGXy9G2bVs2OunatSunk6VSqRSpqakq+0peV/iqvLyc3eD5qgJrda0Dr22qqqpUohqFQoEmTZqoRDV8acSrqqrYuRmaptloxtLSkvPORk0UCgUOHDiA9evXw87ODhs2bODFnpLaYKKXoKAg9OvXT+fX50Rczp07h23btmHPnj1wcHDQ9eXfSFxcHEJCQlBSUoLJkyfjgw8+4M0NrlQqERMTg8uXL+PevXswNjZmo5ROnTpxbqdQKMT9+/fZ6KS4uBjGxsbo3r07KyitW7fmxLYXC1/VnNhXt/DViwXWEhMTkZubCwCwsbFRyQhd34l8TaJQKFRKPldWVoKiKJWohg/DUgqFgo1mRCIRjI2N2bkZPu07ycjIwOLFixEVFYXg4GB8/fXXvOjQvci+ffuQkZGBVatW6Tx60bm4MFGLm5sbvv32W11e+o2IxWL88ssvOHv2LLp06YL58+drvK67uhQVFeHKlSv4+++/UVxcDEdHRwQEBKB///6chuY0TSMjI4NdJpyUlASlUol27dqxYtKlSxdOGobaliQz4/xt2rRhNyd6eHhotPBVzQJrTHTz4hJk5rpcCa1QKGSFpqCgAAqFAmZmZioln7mOaoRCIQoLC1FcXAylUqkyN8N1Jwp43tELDQ3Fjz/+CBsbG2zYsIHT1Vm1kZOTg9WrV2P8+PHo37+/Tq+tc3G5cuUKNmzYgL179/JuCe/WrVtx/fp1fPbZZ3jvvfd4cQMDzxvwL774AqWlpRgwYAD8/f3h5OTEC/uKi4sRFBQEU1NTlejEzs6Oa9Nw9epVrFy5Eqampiop5nW9mbLm5kkmYsrKyoKDgwNCQ0N1ZserUCqVKlFNRUUFnJyc0LNnT65NA/DcfyUlJSgoKIBIJIKTkxPnpaNrkpmZiS+//BJRUVG4efMm7O3tuTZJhf379yMzMxOrVq3SaZuhEXGpzylomoZQKFRr5ZI6jqmPbVKpFDRNqzV0oW3bhEIhTE1N1VpWqG3bqqqq0KRJE7UWOtTXtvrYpVAoIJVKYWpqWu/raNtncrkcMplMrWWt2raturoaAHj5HDDLmNW5jjbvNZqmIZVKeekzXf+eDBoZBwgLC9Pq7vrq6mqIxWK899579T72yJEjr12NxuwgbghlZWUYMWJEvY87fvy4SroYhUIBmUwGQ0NDjQ3RlJeXY9iwYfU+Ljw8vEG/aV38WlpaWu/f9ODBgyrlC2QyGeRyOYyNjTW2nr+0tBQffvhhvY8LDQ19Y2kFuVwOAGr/vqWlpfjggw/qfVxSUlKdojWFQqG2HyUSiVqlJXJycuo1tCuRSAA8b2Dr2vjJZLJ6l9sOCQmBm5tbvY6pb3tSVFSEoKCgel0DAM6ePVvvCKm6urrem3cHDBhQX9NYNNKCPXv2DOPHj9fEqV4iLS0NW7duRevWrdUSFyb1fW0kJSXhwIEDmD9/PlxdXdW28ccff1RLXJihkezsbGRlZbGpPkxNTeHl5YWRI0ey0YBcLlerQdq0aZNa4vLs2TOMGzeu3scxzJw5E7NmzULXrl1f+Zkffvih3r9pZmYmbGxskJWVhaysLBQUFKC6uhrm5uYYOHAgPvnkE5XPM6nu67NwZMWKFWqJS2ZmJiZMmPDK9+Pj47F//34oFAps3LhRrU7NypUr1RKXysrKN1ZelMlkuHbtGgYPHqzWfMu///6rlrhIJJJ6z20yVTXrmuj28ePH9RaXtLQ0zJ07t86fP3r0KA4dOoTz58/X+ZhZs2apJS55eXn1anPu37+P8+fPY8GCBXXeZLtv3z7uxYWiKK3sAqVpGt999x2mTZvG5sKqL6+yjaZpLF++HJ988glWrlyJX3/9VeU9XYxNUhSFP//8E61atUL79u3xzjvvwMrKCqWlpTh69CjS09Px+eef48qVK4iOjoaHhwcmTJigM9tq81t+fj6ePXuGXr16vfLYx48fIy8vD8uWLcOZM2c0ai9FUbh16xbatGkDLy8vtG3bFpaWlsjLy8OOHTtQUlKCGTNmgKIo0DSN6dOnQyqV4vTp01pf+FCbz5j5jKNHj+LatWsYO3YskpKS8N133yEkJESr9tRm3+uIi4tDVVUVEhISdD7fUp97hCk1rc6x9aG+7RpTBTI+Pl4nCS/rOgxN0zQOHDiAXr16YefOnSoLqZjhNW34kF9bd1/g8uXLAAB/f3+1xeVVXLlyBUZGRhg3bhzCw8NZQcnJycG1a9cQGBio0eu9ipobnGr+wJ6entiwYQOWLFkCOzs7fPLJJ9i8eTPc3d1f27Brm8WLF6OsrAx//PHHK2/IrVu3Yvjw4fjzzz8hFos13qivXbsWAoFA5fpubm7o0qULxowZg379+qFr1644f/48KIqCt7c3lixZgs2bN2vUjtqgaRoikQhZWVlISEhATEwM0tLS0LFjR2zfvh329vaQyWQYNmyYzjoxdSUzMxNdunRBcnIybybza6PmfIO68xzqXFOhUKCiogIymQy2trYqjbtSqYRcLsfMmTPx5Zdfsm0XH5BIJFAoFAgMDMTcuXNV7runT5/i4cOHao1uvAneiotCocDWrVsREhKi8QdQoVBg27Zt2LhxI3tuhUIBQ0NDfP311ygpKcHIkSN1ssT3VcMPTZo0wZIlS1BYWAhbW1sYGBjgq6++wrp163D06FFOGiWaplFcXAwArxWNtLQ0rFmzBqmpqfj5558xZ84cjdrxqt6kra0tli5disWLF+PkyZPYvHkztm7dio4dOyIgIACPHz/W+iq777//HmlpaVAoFOjQoQN69uyJqVOnon379qzdxsbGEAgEyM7O5tXKIpqm4eTkhPj4eK5NeS1CoRAURcHU1BQFBQVaTcX09OlTpKSkICYmBrGxscjJyQFN0+jcuTN27drFPr8PHjyAsbExZs2ahd27d2vNnpowIiuTyVBVVYXi4mIIhULY2Nio1P45fvw4OnbsyNpaXV3NDsnu2LEDVVVVCAgI0PhzwVtx2b17N9q1a6fx4mE0TePnn39G69at0alTJwDPV1EkJibC09MTJSUlcHd3x549e7BgwQKNXru+GBgYoFWrVuy/u3fvDqlUCpFIxMmGraysLAgEAlhaWuL27dvw9/d/6TPMDW9hYYFFixZhxowZGheX1zFo0CD8888/mDlzJpo1awZ3d3dQFIXZs2dj3rx5CA4OfmleRpN06NABH374Idq3bw8LC4tXDl0MGzYM69atw/bt27VmS31gfje+5SGrjeLiYjRt2pSde9OmuIwfPx7W1tbo0qULRo8eDTc3N5iZmWHevHn4/PPPceDAAVAUhVWrVmHUqFHsfIYuotKLFy+y845isRjGxsZo0qQJ8vPz4enpidGjR8PY2BiRkZFYs2YNgOe58K5evcrO11RVVQHQTgTIyztJIpHgr7/+wrFjxzTyA5WWlqKgoABPnjzBo0ePcP36dezdu5c9d58+fXD8+HF06dIFADBnzhx88cUXnIvLi1AUBR8fH2zevBlLly7V+fU3btyI4cOHw9TUFL///nut4pKXl8cOWbVt2xZKpbJBK5DqC0VRWLZsGc6fPw8fHx/2Nx49ejRcXV0xd+5cDBkyRK20+nUhMDCwTvfszJkz8cEHH/BmaKyqqqpWO2oOQfHBTuD5CsjWrVvDysoKT548UXlP0/fa0aNHYWtr+9Ly52PHjqF37944fvw4xo4di/v372PPnj0qNYWYZeY0TUOpVGr8GcjNzUWHDh3Qt29f2NrawtzcHEZGRigqKsKJEyewadMmdqEVU6b8o48+wuHDhzFixAj2tzU1NUVKSorGyzvzKwPj/7Nq1Sr4+vpqbKPbl19+ic2bN+POnTswNzdHSEiISk340aNHIyEhAXFxcTA1NUW7du2gUCjqtZZcV8ybNw/3799HUVERxGKxTq/96NEjBAcHw8/Pj63rXhNmKHPgwIEAnjdGdnZ2OHnypE7tNDAwwH/+8x+V1UEURcHT0xMffPABvvzyS61du64NMLPPSygUory8HNnZ2VqzqS4kJyfDxsaGtb/mkMvt27eRkJDApXkqyGQyNGvW7KXGWi6XIykpSeW5ZRp2dWnXrl2t+6TMzMxw5MgRfPvtt5DL5aBpGra2tgCep/3566+/2M9euXIFwcHBDbKjNoKDgzF06FC4ubnBxsaG3QdnZ2eHmTNnwtbWFvv27cP48eNZ+z09Pdl2g1nS3alTJ9y9e1ejtgE8jFzkcjliYmJw5swZjZ1z2bJlsLa2hqmp6UsTwQBYMTl06BD8/PzY93U1WVgfzMzM4OfnhyVLlsDExIT9btpGKpUCeD4XZG9vD4VCofI+TdNYunQpHj16pFJCYdWqVZg5cyZGjBgBc3NziMViZGdnIzk5Wes218bcuXPh5+cHpVLJaXZriqIwYMAALFu2DNnZ2RCJRNi5cydnWSuysrLYTkFNcnJyUFJSgry8vNcuK9c1xsbGLz3HWVlZqK6uRnl5OdsxVSgUSE1N1Ur6IXd3dzg4OGDu3Lmws7Nj7QkODsaOHTswevRoAM+XGxsbG+PChQtqbVl4Fa/ryBgYGGDKlCmorKxUyYTN3PM0TSMmJgYWFhbw8fHB0aNHNWYXey2Nn7GB/PTTT3B2dtZoo96+fXs0bdoUBgYGtf4gjMMfPXqEMWPGAHg+OXzhwgWN2aBJZs6ciSVLlsDb2xtff/211iMsmqaxd+9eNjFmbeF9fHw8kpOTsXXrVpXsC/b29ujduzfmzZuHjRs3YtGiRVi3bh1iY2O1avOrMDQ0hLm5Oa5fv87J9Wvy3XffwdLSEoGBgRg/fjxmz57NSbTM9O5rDhUynYfMzEw2/xkfI3ngf3YVFxfD0tJSJQrMzc3Vmt0UReHkyZNo0qQJTpw4wb4+ceJEdriOpmlUV1dj2bJlOh/KFggEL+VhoygKFEWxGdX79esHFxcXiEQizV9f42dsADRN4+zZs+zkky5h6nszD9iUKVNw5MgRndtRFwQCAezt7REYGIiqqio8ePBAK9ehaRolJSXYunUrbt68yZaifnHoBHi+6mTkyJEvrX6iKAr//e9/8cknn6BDhw6YOXMmNm/ezGmBuG+//Rbr16/n7PoMxsbGWLZsGd5//32MHTsWCoUCN2/e1LkdTNYA5nelKIptbEpKSthoik/iUrPBZIabaJqGg4ODynBxQUGBVjOvW1tbY8OGDSrXYCIFmqbZVWQjR45kSzlwjbOzM86ePYvc3FwMHDhQa0UEeSUuWVlZoChKp0kFGdatW4f169erTPJXVVXx6oF6EYqisHDhQqxbt04rdl68eBHz5s2DSCRCSEjIS5PgNa+ZlZX1yl3tBgYGGDFiBEaPHg1PT09YWlpyOiTVp08fiESil4b2uIAZpqUoCmvXrsWaNWsgkUggFApx4sQJJCUlad2GBw8eqAytGhkZsZsUFQoFWrRoAQMDA3YZujaorq6GTCaDQqGAUql85f384usCgYBd8QRAZfiLpmnQNK31lZUvjoZQFAVjY2PExMTgyy+/xNSpU9lVeHxoT0aOHImoqCgA0Gq9HF7NuaxZswYff/wxJ6tSmJoWDMzQj7pJNnWFt7c3pFIpcnNzNV4e4PTp0/jiiy/g7e1dqxhUVFSodAT4VOXwdTALDY4fP661tEXq0K1bN3Tr1g3z5s1DdXU17OzssH//fly4cEGrz0RmZqbKJjoLCwu2+BzwfCixdevWePjwITtprWlSU1MBPBcLAwMDGBkZwcrKCi1atFD57i82zk2bNmWHwwDVqFqbu8/fRHBwML799lukpqayG44pikJ+fr5KO8MFHTp0eClaBTS/fJqz7qNSqWRXKwD/q1o4ceJErkx6iW7dumHHjh1cm/FaKIrC+PHjsWLFCo2fOyQkBL6+vrUKS9OmTZGYmAhAuykktMWPP/6I/fv386InycBEL4MGDcLHH3+MtWvXgqIorQ17AmBXRdbs3VtbW7N1bxjc3NxQUFDA/rtm460JOnfujI4dO6J9+/aws7ODubk5srKykJOTo/I5ZmEJQ4sWLVBRUfHSSixmSJerfTsLFixAamoqLCws2A2LXbt2xa5duzixpyYCgQB+fn7sggOtXUerZ38FNE1j69atmDdvHoRCIYDnvWAAvKo29/XXX+PWrVtsymq+woznlpeXa/S8r0sH37lzZ9y6dQsANL7EUhc4OjqCpulal1RziZGREcaOHYsPPviAXfHzww8/aOTcjCAwfwqFAlFRUSpLkIHn849CoVCl02BpaalybHp6OiIjI9nnt6EYGxvDzMwMFhYWaN68OVq2bAlXV9eXJuSrqqpUBKNZs2aQy+UQCoVsJ0ggEKCiogLZ2dmcFftr0qQJdu/ejd9++431LZM5gg+MGjUKgwcPVnlN05P6nIhLbGwsrl27hg4dOrA97pCQEPj4+HBhziuxtLSEl5cXvvvuu5fWz/MJgUCAd999F6tWrdLZNfv164e4uDgAzydN9SlqAZ43mNOmTcOiRYu4NuUlavryo48+UokYGsK9e/cQERGBO3fu4NatW/jnn39QVlaGvn37qnyOabBftEkgEKCoqAgPHjxAcnIyTE1NcfXqVa3MXVEUBRMTExgZGSE/P599vaysTCXKYlKaFBYWssPX1tbWyM3NhUwmg42NjcZtqyvvvvsuXFxc2H/37dtXY2LcUJhhOgZjY2M8e/ZMo9fQubjQNI2VK1fiv//9LxYtWoT4+HgolUr8+++/WLhwoa7NeS0URWHp0qVwd3fHDz/8gJ9++om3AjNlyhRkZGSgsrJSJ9fr2bMnysrKAAARERGcPsTqMmbMGBQWFr40BMQnmMZTEw24paUlbGxs0KZNGzg4OMDNzQ1+fn4v5bdjItYXI9KePXvizp07yM3NhZ+fHzw9PdGsWTPcvn1ba89Fp06dkJWVxZ6/qqqq1gU/5eXlbPXT1q1bs404nzo9TMTFh4UkL9K6dWuND7/qXFyys7MhlUrRu3dvGBsbw9raGocPH4aBgQGaNWuma3PeiKGhISZPnoxNmzYhIiICv/zyCy8FxsDAAP7+/lixYoVO7LO2tmavc/36dd5FnXVBIBBg1KhRWLhwIS9/UwYzMzNER0c3+DzMvIajoyPat2+PNm3a1Jo4lWmQX0wJ4+DggL59+8LPzw9mZmagKAp9+/ZFRUWF1uaFXhQ6uVyuUo+EsU+pVLKvGxkZsW0Ln8QFeB4V1qfei67o0aOHxrMwaFVcapv0W7p0qUo6gh9//BF//PEHli1bxrsbgYGiKLRs2RKbN2/GX3/9hTt37nBtUq1MmzYNT5480eqSUYaak/zp6ekvjd/qC7NmzcKTJ09Uhl74xscff6zTiWDmOSwsLFQpaEZRFGxsbFTmRQ0MDODn56e13HEURcHMzExlYv/FeVlmw3XNfTru7u4qVV75wooVKzjJC/gmunXrpvEIXmviIpVKERYWhqNHj7ICo1QqkZubq1Lh0N7eHtu3b4e3t7e2TNEYLVq0wKpVq7Bu3Tp2AQKfMDAwwMcff4xly5ZpvSdec8mnTCbTePZqXWFoaIiJEydi/vz5vI1exo4di8zMTJ1fNycnp05Lj83MzNikr9qgQ4cOKvNOL3ZCXVxc0L59e5XXDQ0NedlZ/fDDD1FSUsK7RTC2trYat0lj4lJeXo7i4mLk5eUhMzMTX331FaKionDkyBE8fPgQwPO6z8yGLAaKotCmTRte3gi10aVLFwQEBOCrr77iZWM0btw4FBQUaHxyrjYoimIfenXK4vKF4OBg5OfnIyMjg2tTaoWZwNb1/VZSUoK2bdvW6bPafH6bNGny2n0rJiYmWtt/o2kMDAzQunVr7N+/n2tTVKiZc0xj59TUiRYuXIgvv/wS3377LVatWgVHR0ds3LgRCxYswNKlS9n8VHwMCesDRVGYNWsWhEIhjh07xrU5LyEQCPDZZ59h+fLlWm+MfHx8sGfPHgD8mjitLwKBAPPmzcOCBQt42WFgVmq9uOdD28jlcl4s1GDuLZlM9sbP6AOhoaH48ccfeXWvMf5jtl1owjaN7TBatmwZO5FmaGjIJkwbMmQINm7ciNu3bwMAXF1dNXVJzhAIBNi4cSOmTJmCAQMGcG3OSwwfPhwHDx7Ueubh6dOnY8qUKbzam6QuH374IXbs2MEur+Ybffv2xfbt23Xm6yZNmkAkEvHmtzU3N0daWppeR8gMLi4uMDExwbVr17g2RQV7e3ucOXMGjo6OyMrKavD5NBa5ODg4oE2bNrCxsYGVlZXK5NrUqVOxZcsWLF26VK96GK/Dzs4OU6ZMwfLly7k25SUoisL8+fMREhKi1evY2dmhSZMmWt/pqwsoisJ3333HSdLUujB79mw2I4Iu6Nq1K4yMjHjzvDo5OaG6uhqOjo5cm9JgKIrCzp078c0333BtigozZsxAREQELl++/NI+J3XQSORiaGiIyMjIV75vb2/P5nB63edeB7OGXdO2NYS2bdvi/fffR2FhoVrHGxoa4t69exq26jnGxsb48MMPG2RbXfw2ceJE2NraquVjdX5TQ0NDrRQ2Ap5X5Bs7dizy8vLUOt7IyEhrtgH/mxtSB4FAgNzc3Dp/3sDAAB4eHvU6pkmTJuqYBoqi2D1Tr6NNmzZQKpV1+uyLqFPCw8jICFevXq33cXVl1qxZakcIhoaGiI+P17BFwPvvvw9LS0sYGxsjJSWlQeeiaA0MrtUnPQpN02rVgBcIBGqFxPWxTaFQQCqVvjbtSW3owjZ10YVtVVVVaiX3VMe2xnKvMTmy6jvspK5t9dm4xwyH1TcvFzM3VF90tXKqvrbVzH34JmiaVqu4oEAgUGvo8cUca69DoVBALBbX+xkVCAQNys2mEXGpD8XFxcjIyIClpSXatGnDq4zDGRkZKC0thaurq9q9MG2hUCggkUjYUqZ8oaioCBkZGXByctJJRcy6QNM0ysrKkJ+fj+rqari5ufFm7oDh6dOnKCkpgbW1Nezs7HhjH1ODxMDAAK6urryb41AqlZBKpTA2Nua0bENNmPtNJBLBzs6Os2SZLyKXy5GTk4OsrCwYGhrC29tbp8OcOv91WrRoAZFIhI0bN2LUqFH473//q9Ox5Ndha2uL0NBQTJ48GY8fP+baHBUyMzMxYcIETvY7vIpLly5h4sSJuHv37ku1XrhAqVTi8uXLmDhxIj766CMcOHCAXWTCN2xtbZGcnIwvvvgCI0aMwMaNG9UejtMkFEXB0dERGRkZuH79er16yLpAIpEgPj6+XlGFNlEqlfjqq6/QvXt3RERE8EJYJBIJzp8/j6+//hrr169HZmYmW0VWl+g8cmGgaRo3b95EeHg4njx5gh49eiAoKEirm7HqglAoxHfffYecnBysXbuWN5sD09PTsXjxYmzcuBFOTk5cm4NLly4hJCQEI0aMwOzZszmd+FUoFLhy5QoOHTqEZ8+e4Z133sGkSZPg5ubGmU11RSwW48yZMzh27BgqKyvx7rvvIigoiC0tzBXl5eW4ceMGzMzMMGDAAN4ItEgkQmJiIjw8PDgfXWCE5eTJk9i8eTM+/vhjTu0Ri8W4du0a/v77b0ilUvTr1w/Dhg1D8+bNObGHM3FhoGkat2/fRlhYGDIyMtC9e3cEBQWha9eunNkkFAqxZMkSZGdn80Zg+CQuFy5cwNatW/Hee+9xKiwKhQJ///03Dh06hKysLPTp0wfBwcHo3LkzJ/Y0BIlEwopMRUUFhg0bhqCgIM5SxgP8FBi+iItCocBXX32FU6dOISQkBB999BFntojFYly9ehVXrlyBVCpF//79MWzYME4q+taEc3FhoGkad+7cQVhYGNLT0+Hp6YkJEybA09OTE3sYgcnKysLatWvRqVMnTuxg4Iu4nD9/Htu2bcP777+PmTNnciIsCoUCly5dwuHDh5GdnY1+/fph0qRJKunN9RWJRII///wTR44cQXl5OQICAjBhwoQ675TXNBUVFbh+/TpMTU0xYMAAtVZdaRI+iItCocDixYtx+vRpbN269ZXlvbWNSCRiRUUul7OiwpcEwLwRFwaapnH37l2Eh4cjLS0Nnp6eCAoKgqenp84bMpFIhKVLl+Lp06f4/vvvOW28+CAu586dw/bt2/HBBx9gxowZOv895HI5Ll++jEOHDiEnJwf9+/fHpEmTOBd+bSCRSPDXX3/hyJEjKCsrQ0BAAIKCgmBvb69zW/gkMFyLi0KhwKJFi3DmzBm2k6VrRCIRrly5gqtXr0Iul2PAgAEICAjgjagw8E5cGGiaxr///ouwsDCkpaWhS5cumDBhArp166bTRq2mwKxZs4azIReuxeXs2bPYsWMHPvzwQ0yfPl2nv4FcLsfFixdx+PBh5ObmYsCAAZg0aRIvhiu1TXV1NSsypaWlGDp0KCZMmIB27drp1A6+CAyX4qJQKLBw4UL88ccf2L59O/7zn//o9PpCoZAVFYVCgYEDByIgIACWlpY6taOu8FZcGGiaRmRkJA4fPoxHjx6hS5cuCAoKQvfu3XXWwInFYixduhRPnjzB999/z4nAcCkuf/31F3bu3ImPPvoI06ZN05nfZTIZKyp5eXkYNGgQJk6cCGdnZ51cn09IpVKcPXsW4eHhKCkpgZ+fHyZMmID27dvrzIaKigrcuHEDxsbGGDhwICcCw5W4yOVyLFy4EH/++Sd27NiB9957T2fXFgqF+Pvvv3Ht2jUoFAoMGjQI/v7+vBUVBt6LCwNN04iKisLhw4eRmpoKd3d3BAUFoWfPnjpp7MRiMZYtW4b09HR8//33Os+RxpW4/Pnnn9i1axdGjhyJzz//XCe+lslkuHDhAg4fPoyCggIMHDgQkyZN4nwhAx9gRObIkSMoKipiRcbBwUEn16+srMT169c5ExguxEUul2P+/Pk4d+4cduzYgREjRujkulVVVayo0DTNikrNYml8Rm/EhYGmady7dw9hYWF4+PAh3NzcEBQUBC8vL603fGKxGMuXL8fjx4+xZs0anS515UJc/vjjD+zevRujRo3ClClTtO5fmUyGc+fOITw8HAUFBRg8eDAmTpzYKPJJaZqaviosLGR9pYsCWTUFZsCAASoFxbSNrsVFLpdj3rx5OH/+PHbu3Inhw4dr/ZqVlZX4+++/8c8//wAABg0ahKFDh+qNqDDonbgw0DSN6OhohIWFITk5Ga6urggKCkKvXr202gjWFJjVq1fD3d1da9eqia7F5ffff8eePXt0IixMQxkWFobCwkIMGTJEZw2lviOTyXD+/PmXBFnbvuNKYHQpLnK5HHPmzMHFixexa9cuvPvuu1q9XmVlJS5fvozr168DAAYPHoyhQ4fyKotJfdBbcWGgaRoxMTEICwtDUlISOnfujKCgIK2mOpBIJFixYgUePXqEVatWwcPDQyvXqYkuxYURltGjR2Py5Mla82PNeYTi4mJWVHQ1xNOYYIYSw8LC2KHEiRMnavVeqaysxI0bN2BoaIiBAwfqRGB0JS5yuRxffPEFLl26hJ9++gkBAQFau1ZlZSUuXbqE69evQyAQsKJS35x4fEPvxYWBpmnExsYiLCwMCQkJcHFxQVBQEHx8fLTSODICk5qailWrVmk9s4CuxOX06dPYu3cvPv30UwQHB2vFd1KpFH/99Rc7Oc2sgNLl5HRjRSaTsXuA8vLy2JV12loEUVVVhevXr+tMYHQhLjWFZc+ePfD399fKdSoqKlhRMTAwwJAhQ+Dn56f3osLQaMSFgUm8d/jwYSQkJKBTp04IDAxE7969Nd5QVldXY8WKFUhJSdG6wOhCXE6dOoX9+/djzJgxmDRpklb8xSyrLSkpgb+/PyfLat8G5HI5KzI1l29rQ2RqCsyAAQPqnVW8PmhbXGQyGWbPno2///4be/fuxdChQzV+jYqKCly8eBE3btyAgYEB/Pz8MGTIkEYjKgyNTlwYaJpGXFwcwsLCEBcXh44dOyIwMBDvvPOORhvN6upqrFy5EsnJyVi1apXW0tZoW1xOnjyJn3/+GWPHjsXEiRM17qM//vhDZUPghAkTONkQ+LbBbDw9fPgwcnJy2GwGmt54WlVVxTaW2hQYbYqLTCbDrFmzcPXqVezduxd+fn4aPX95eTkuXryImzdvwtDQkBUVrnOkaYtGKy41YUTmwYMHcHJyQlBQEPr06aOxBlQqlWLlypVISkrCypUrtZKyRpvicuLECfzyyy8YP348goKCNOYXiUTCikp5eTmGDRuGiRMncpov621FoVCwIpOdnY2+fftqPGWOUChk5w0GDhyoFYHRlrjIZDLMnDkT165dw759+zBkyBCNnbusrIwVFWNjY/j5+WHw4MGNVlQY3gpxYYiPj0dYWBhiY2Ph6OiIoKAg9O3bVyONKSMwiYmJWLlyJbp166YBi/+HtsTl119/xYEDBzQqLEwSxqNHj6KiooLN9EtEhXtqZpCumexTUyKjbYHRhrhIpVLMmDEDN27cwL59+zB48GCNnLesrAwXLlzArVu3WFEZMmSIVocN+cRbJS4MCQkJCAsLw/379+Ho6Ijx48ejf//+DW5YpVIpVq9ejfj4eKxYsQLdu3fXjMHQjrgcO3YMoaGhCAoKQmBgYIPPJ5FIcPr0aTZ9/PDhw3mRPp7wMgqFAlevXmXLFPTu3RvBwcEa2RxcU2AGDBig0R66psVFKpVi+vTpuHnzJvbv349BgwY1+JylpaW4cOECbt++DRMTEwwdOhSDBw/W6X4gPvBWigtDUlISwsLCEB0dDQcHBwQFBTVYZGoKzPLly9GjRw+N2KppcWGEZcKECRg/fnyDziUWi1lREQqFrKi0atWqwXYStItSqWRF5unTp/D19UVwcHCDNwgLhULcuHEDADBw4ECNCYwmxUUqlWLatGm4desWfv75ZwwcOLBB5yspKcHFixdZUfH398egQYPeOlFheKvFhSE5ORlhYWG4d+8e2rdvj8DAQAwYMEDtMqpSqRRr1qxBXFycxgRGk+Jy5MgRHD58uMHCIhKJWFERiUR47733EBgYCDs7uwbZR9A9SqUS//zzD0JDQ5GZmQkfHx8EBwc3aJOwSCRiNwRqSmA0JS7V1dWYPn06bt++jZ9//hkDBgxQ+1wlJSU4f/487ty5A1NT07deVBiIuNQgOTkZ4eHhiIqKQvv27TF+/HgMHDhQLZGRyWT4/vvvcf/+fSxfvhw9e/ZskG2aEpfw8HCEhYVh0qRJGDt2rFrnEAqFOH36NI4fPw6xWIwRI0YQUWkkMCJz6NAhPHnyBN7e3pg0aZLay+w1LTCaEJfq6mp8/vnnuHv3Lg4cOIB+/fqpdZ7i4mKcP38ed+/ehZmZGQICAjhL6MlHiLjUQkpKCsLCwhAZGQl7e3sEBgZi0KBB9RaZmgKzbNkyeHl5qW2TJsQlLCwM4eHhCA4OxpgxY+p9vFAoxKlTp/Drr79CIpHgP//5DwIDA2Fra6uWPQT+olQqcePGDYSGhiIjIwNeXl4IDg5Wa6l9TYEZMGBAg/ZzNFRcqqurMXXqVERERODAgQPo27dvvc9RVFSECxcu4M6dO2jatCkCAgI4r3PDR4i4vIbU1FSEhYUhIiIC9vb2GD9+PAYNGgQDA4M6n0Mmk2Ht2rWIiYnB0qVL0atXL7VsaYi40DSNsLAwHDlyBJMnT8ann35ar+OFQiFOnjyJEydOQCKR4P3338f48eOJqLwFKJVK3Lp1CwcPHkR6ejp69uyJ4ODgei+3F4lEuHHjBpRKJQYOHKi2wDREXCQSCaZOnYrIyEgcPHgQffr0qdfxRUVFOHfuHP79918iKnWAiEsdePToEcLDw3H37l20bdsW48aNw5AhQ+osMnK5HGvXrsW9e/ewdOlSeHt719sGdcWFpmkcPnwYR48exWeffYbRo0fX+diqqipWVKRSKSsqNjY29bafoN8wIhMaGorHjx+jR48eCA4OrteSe7FYjOvXrzdIYNQVF4lEgilTpuDevXs4ePAg3nnnnTofW1hYiHPnziEiIgLm5uYYNmwY+vfvD2Nj43rb/zZBxKUepKWlITw8HHfu3EHr1q0xfvx4+Pn51Ulk5HI5fvjhB0RFRWHJkiXw8fGp17XVEReapnHo0CEcO3YMU6dOxahRo+p0XGVlJU6cOIGTJ09CJpPhww8/xLhx42BtbV0vmwmND6VSiTt37uDgwYNIS0tDt27dMHny5Dovu2+owKgjLmKxGFOmTEF0dDRCQ0PRu3fvOh1XUFCA8+fPIyIiAhYWFqyoGBkZ1cvmtxUiLmrw+PFjhIeH4/bt22jdujXGjRsHPz8/GBoavvY4uVyOH3/8EZGRkfjuu+/g6+tb52vWV1xomkZoaCiOHz9eZ2GpqKjAyZMncfLkScjlclZUWrRoUWc7CW8HNE2zIvPo0SN069YNkyZNQo8ePd64lF8sFuPGjRuQy+UYOHBgvVLK11dcxGIxJk+ejNjYWISGhtbpmcvPz8e5c+cQGRkJS0tLIipqQsSlAaSnpyM8PBy3bt1Cq1atMHbsWPj7+79WZORyOdatW4eIiAh8++23de5F1UdcaJrGgQMHcOLECUybNg0jR4587ecrKirw66+/4tSpU1AoFPjoo48wbtw4NG/evE62Ed5eaJrG3bt3cfDgQaSmpqJr164IDg5+Y4VYdQWmPuIiEonw2WefITY2FocOHXrjaEFeXh7OnTuHqKgoNGvWDO+++y769u1LREVNiLhogIyMDBw5cgQ3btxAy5YtMX78+NeKjFwux/r16/Hvv//WWWDqKi41hWX69On46KOPXvnZ8vJyVlRomsbIkSMxZswYIiqEekPTNCIiInDw4EE8fPgQXbp0QXBw8GsrxEokEly/fr1eAlNXcRGJRJg8eTLi4uJw6NCh185z1hQVKysrvPvuu+jTpw8RlQZCxEWDPHnyBOHh4bh58yZsbW0xduxYDBs2rFaRkcvl2LBhA+7cuYP//ve/b1y5UhdxoWkaP//8M06dOoUZM2bgww8/rPVz5eXlOH78OH777TdWVMaOHQsrK6t6f2cCoSY0TbOrsZKTk+Hh4YHg4OBXVoitKTADBgx4YynfuoiLUChEcHAwEhIScPjw4Veu0MzNzcXZs2cRHR3Nikrfvn3fOLxNqBtEXLRAZmYmjhw5guvXr8PGxoYVmRd7QgqFAhs2bMDt27fxzTffvHbN/ZvEhaZp7N+/H7/99htmzpyJDz744KXPlJWV4dixYzh9+jQoisLHH3+MMWPGoFmzZg3/0gRCDWiaRlRUFA4ePIikpCS4ubkhODi41uJ9EokEN27cgFQqxcCBA18rMG8SF6FQiEmTJiEpKQmHDx+udW9ZTk4Ozp49i5iYGDRv3hzDhw/HO++8Q0RFwxBx0SJPnz7FkSNH8M8//8Da2hpjx47Fu+++qyIyCoUCGzduxK1bt14rMK8TF5qmsW/fPpw+fRqzZs3C+++/r/J+aWkpjh07ht9//x0URWHUqFEYM2YMLC0tNf+lCYQa0DSNe/fuITQ0FAkJCXBzc8OkSZPg6+urIjJ1FZjXiUtVVRUmTZqE5OTkWoUlOzsb586dQ3R0NFq0aIERI0agd+/eRFS0BBEXHfDs2TMcOXIE165dg7W1NcaMGYN3332XXSevUCiwadMm3LhxA19//TX69++vcjxN04iOjsaSJUuwZs0alXFsmqaxd+9e/P7775g9ezb+85//sMeVlpbi6NGjOHPmDAQCAUaNGoVPP/2UiApB59A0jZiYGBw4cAAJCQno3LkzgoODVSrEVldX4/r165BKpRgwYMBL9ylN03j27Bnu37+PHj16oF27duyxVVVVmDhxIh4+fIiwsDCVdEvZ2dn466+/cP/+fVhbW2P48OFEVHQAERcdkpWVhSNHjuDq1ato0aIFPv30UwwfPhwmJiZQKBTYvHkzrl+/zgpMWVkZQkNDsX37djx+/Jg9j7OzM+bMmYOJEyfi+PHjOHPmDL744gu89957AJ4n0mNExdDQEJ988gk++eQTIioEzqFpGvfv38fBgwcRFxcHFxcXTJo0iS3eV11djRs3bqC6upoVmDc9B6NGjcKcOXOQmpqK8PBwds/Ns2fPcPbsWcTGxsLGxgYjRoyAr69vvTJsENSHiAsHZGVl4ejRo7h69SqsrKzw6aefYsSIETAyMsLmzZvxzz//YNCgQVixYgVEIhGA5w8lA0VRoGkaxsbG8PT0xKpVqzB8+HAUFxfjyJEj+OOPP2BkZITRo0fjk08+eeMkKYGga2iaRmxsLA4ePIgHDx6gU6dOCA4ORp8+fSCVSnHjxg1IJBLIZDJMnDjxtc+BgYEB2rZtiz/++APdunVTERVbW1sMHz6ciAoHEHHhkJycHBw9ehR///03mjVrxkYy8+bNw759+9iH53UIBAIcPXoUeXl5+PPPP2FsbMyKSn02pxEIXMGITGxsLDp27IhJkyahV69eCAkJwZIlS0DTdJ2eg4MHD6KyshJxcXGwtbVlIxV1S2cQGgYRFx6Qm5uLo0eP4vLlyzAzM8PZs2chlUrrdCxFUaAoCn5+fggMDMQnn3zSoKyzBAJXPHjwAKGhoYiJiUG7du1w4sQJVFdX1+lYiqJgYGCABQsWYNSoUfD29iaiwjHE+zygdevWWLhwIX755RfQNF1nYQGeDxMolUr4+/tj0qRJRFgIeku3bt2wefNmbNu2Dc+ePauzsADPnwO5XI42bdqQaIUnkMiFR9A0jU6dOqlMWtYFiqLg5OSER48eNahEM4HAB8hz0Dgg4sIjioqKGlQjpaioiGQuJug95DloHJDYkUdUVVU16PjKykoNWUIgcAd5DhoHRFx4RENXd5Elx4TGAHkOGgdEXHiEtbU1nJ2d6z1eTFEUnJ2dSd0VQqOAPAeNAyIuPIKiKMyZM0etY+fOnUsmMQmNAvIcNA7IhD7PKCsrg729PcRiMZRK5Rs/LxAIYGZmhqysLJIyn9BoIM+B/kMiF55hZWWFU6dOgaKoN67VFwgEoCgKv/32G3mgCI0K8hzoP0RceMiwYcNw9uxZmJmZsTvwa8K8ZmZmhnPnziEgIIAjSwkE7UGeA/2GiAtPGTZsGLKyshASEvJS/RYnJyeEhIQgOzubPFCERg15DvQXMueiB9A0jZKSElRWVsLCwgItWrQgk5aEtw7yHOgXRFwIBAKBoHHIsBiBQCAQNA4RFwKBQCBoHCIuBAKBQNA4RFwIBAKBoHGIuBAIBAJB4xBxIRAIBILGIeJCIBAIBI1DxIVAIBAIGoeIC4FAIBA0DhEXAoFAIGgcIi4EAoFA0DhEXAgEAoGgcYi4EAgEAkHjEHEhEAgEgsb5P0YFAkRSV4bPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, noise_scale=10.)\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x) # forward is needed to collect activations for plotting\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4641f36a",
   "metadata": {},
   "source": [
    "Case 3: scale_base_mu and scale_base_sigma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8d5348a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Tk5PQaDSor6+XrVRE5CwXEYvFIklGEASpkpGDZETkNGiE8B8klxAjlIeJMsbQ09ODhoYGTE1NIT8/H3fffTcKCgpkF+uNCAW5iFgsFjQ3N+P06dPgeR67du3C/v37ZblyshyGuxO+h+Qic242wU2tVl83m1quFx5jDN3d3WhoaMD09DQKCgokqYQSoSQXEavViubmZjQ3N8PlcmHXrl04cOCALCUjcu1EXVE2107UzczMlO05T5BcZMfNluZISkq6bra03GGMoaurCw0NDZiZmUFhYSHq6+tDTioioSgXEavVitOnT6O5uRlOpxM1NTU4cOBASCzL73Q6pcVPA7nEELE2SC5BZjWLCoaKTEQYY7hy5QoaGxsxMzODoqIi1NfXIz8/P9ihrYlQlouIzWbD6dOn0dTUBKfTiZ07d+LAgQMhtRx/oBdHJbyD5BJgbrUculjuh+py6IwxXL58GY2NjZidnUVxcTHq6+uh0WiCHZpPWA9yEVkpGYfDgZ07d+LgwYMhJRkRl8uFyclJDA0NYWRkRNojaOW2DuIeQSSbwEFy8TN3wkZOgiBIUpmbm8PGjRtRX1+PvLy8YIfmU9aTXERsNhtaWlrQ1NQEu92O6upqHDx4MCQfbkRutiFdRETEdbLxZkM6YnWQXHzMnbQFrSiVhoYGzM/PY9OmTairq1t3UhFZj3IRsdvtOHPmDE6ePLluJCPir620iVtDclkjer3eTSaLi4sAgLS0NDeZyHl0jqcIgoBLly6hoaEBCwsL2LRpE+rr65Gbmxvs0PzKepaLiMPhQEtLC06dOgWbzYaqqiocPHgwpPr8bgfP85iampKu2ZGREUk2eXl50jWbk5NDslkDJBcP0el0GBkZkToTl5aWAADp6eluMpHTpDVfIQgCLl68iMbGRiwsLKCkpAT19fXIyckJdmgB4U6Qi4jD4ZAqGavVKkkmKSkp2KH5HEEQrpON3W5HWFgYNBqNNPw5OzsbKpUq2OGGDCSX26DT6SSRDA8PQ6vVAgAyMjIkkeTn569LmYgIgoALFy6gsbERi4uLKC0tRX19PbKzs4MdWkC5k+Qi4nA4cPbsWZw8eRIWiwWVlZU4dOjQupSMiCAImJ6edpONzWaDSqVCXl6eNPAmJyeHZHMLSC7XsLy8LI06GRoawvLyMgAgMzPTTSbBXBgwUAiCgPPnz6OxsRFLS0soKytDfX39HXNjvZY7US4iTqcTZ8+exYkTJ2CxWFBRUYFDhw4hOTk52KH5HUEQMDMzI82zGR0dhdVqhUqlQm5uriSb3Nxcks0K7mi5MMawvLzs1meyvLwMjuOuk0kg98sINjzP4/z58zh27BiWlpZQXl6O+vp6ZGVlBTu0oHIny0XE6XTi3LlzOHHiBMxmM3bs2IG6uro7QjIigiBgdnZWks3IyIibbMT7Rm5uLsLCwoIdbtC4o+TCGINWq3WTiU6nk2Sycp6JP/Yqlzs8z6OzsxPHjh2DVqvF5s2bUVdXd8dLRYTk8l+slIzJZJIqmZSUlGCHFnAYY5idnZVEMzw8DIvFAqVS6SabvLy8O0o261oujDEsLS25yUSv14PjOGRlZUnzTDQazR0pExGe59HR0YHjx49Dq9Viy5YtqKurQ2ZmZrBDkxUkl+txuVySZIxGI7Zv3466ujqkpqYGO7SgwRjD3Nyc1Fc7MjICs9kMpVKJnJwcN9mEh4cHO1y/sa7kwhjD4uKim0wMBgM4jsOGDRvcZBIZGRnscIMOz/Nob2/H8ePHsby8jK1bt6Kurg4ZGRnBDk2WkFxujsvlQltbG44fPw6DwYBt27ahvr7+jpaMiCiblaNMzWYzFAqFm2w0Gs26kk1Iy0WUycrRXEajEQqFQpKJeNBIJv+FKJVjx45Br9dLlQpJ5daQXG7PjSRTV1eHtLS0YIcmGxhjmJ+fd3sINplMUCgUyM7OdrtvRUREBDtcrwlpufA8j+9973twuVzr6qD4m8bGRnz88cdSpZKenh7skEICksvqcblcUlVss9nwne98Z109lfuSmz0k33fffThw4ECww/MaWcqloaFh1U/RRqMR0dHRHs2kdTgc0rLj6wVPcuZ0OuF0Oj0aAbcecwZ4ljeTyYT29nZUVVWtel6Tw+GAy+XCzp071xKmrPAkZ4wxmEwmj1aooHPt6hYJSqXSIyHL7VyT5aDsubk5HDx40C/v3dPTg+bmZiQmJq6rk5dy5h3z8/OrzpsgCCgpKUFMTMyqVtft6enB6dOnkZiYKJsL3hfQueYdnpxrniLHc022608rlUqf/0xPT+Mvf/kL6urqgv31/ALlzDtWm4uwsDCo1WqEhYWtKm8vv/wyDh06FOyv5xfoXPMOf+RtZmZGlueabOXia7RaLV588UU8+OCDKCsrC3Y4IQHlzDu0Wi1+85vf4IEHHqC8rZKlpSX8+te/pnPNQ8Rr9P7775dd3u4IuVgsFvziF7/Arl27sHv3btp3exVQzrzDYrHghRdeoLx5gNlsxgsvvIA9e/ZQzjzAYrHgl7/8JWpqarBnzx7Z5W3dy8XpdOKFF15AYWEh7rvvPtkdADnidDrxy1/+knLmIWLeCgoKcO+991LeVoHD4cALL7yAoqIiypkHOJ1O/OpXv4JGo5HtNbqu5SIIAn73u98hJiYGjz32mCwPgNwQcxYdHU058wA61zyH53n8v//3/xAfH49/+Id/oJytEkEQ8NJLLyEqKgqPP/64bPO2buXCGMNrr70Go9GIp556ijb9WQWMMbz++uswGAz4x3/8R8rZKhHPNZPJRHlbJYwxvPrqq7BYLPjSl75EOVsljDG8+eab0Ol0sj/X1qVcGGM4evQoBgYG8PTTT99Ri8V5C2MMH330Efr7+3HkyBGa8LZKxHNtcHAQX/nKV+hcWwWMMbz//vsYGRmh69MDGGNoaGhAb28vnn76adlfo+tOLowxnDt3DqdPn8ZXv/rVO2LflbUi5qy5uRlHjhyhnK0SMW8tLS2Ut1XCGENLSwvOnTuHI0eO3FFbWawFxhja29tx6tQpPP300yGxOeG6k0tvby/efvttfPnLX76j9phYC319fVLO7sQl072lr68P77zzDp1rq4Qxhq6uLrz//vv4p3/6p3W9m6WvGRwcxN/+9jc89dRTIbMY6LqSy9TUFP70pz/hs5/9LHJzc4MdTkgwNTWFP/7xj3jiiScoZx4gnmtPPPEEcnJygh1OSDA+Po6//OUvePLJJ++4LbLXwuzsLF566SU89thjyMvLC3Y4q2bdyEWn0+FXv/oV7r33XpSXl8t2BIWc0Ol0+PWvf43Dhw9j8+bNlLNVIuaNzrXVI04s/cQnPoGSkpJghxMyGAwG/OpXv0J9fT22bt0aUufaupCLzWbDL37xC1RXV6O2tjakDkCwsNvteOGFF1BZWYl9+/ZRzlaJzWbDCy+8gKqqKuzdu5fytgrECbl79uzBrl27KGerRJwDtHXrVuzfvz/k8hbycuF5Hr/+9a+RnZ2NBx54IOQOQDAQc5aZmYkHH3yQcrZKxLxt2LCBzrVV4nK5aGKpF/A8j9/+9rdITU3Fww8/HJJ5C2m5MMbwl7/8BYwxfPazn13VSrV3OowxvPzyy+B5Hk8++STlbJWI5xoAOtdWiSAI+MMf/oCIiAhZT/aTG+J8M6vViv/23/5byJ5roRk1/mt+wdjYGP7pn/4JKpUsdw+QFeJclpGREXzlK1+hnK0SMW/j4+N0rq0SxhjeffddzM3N4ctf/rKsJ/vJCcYYTpw4gf7+/pC/RkNWLhcvXkRTUxOOHDmCqKioYIcTEly+fBmnTp2inHnIpUuX0NTUhKeffpq2y14FjDG0tbWhra0NR44coV1hPaC3txcNDQ14+umnQ37eVEjKZWZmBq+++iq+9KUv0fyCVTI7O4uXX34ZX/jCF2guiwfMzs7i1VdfxRe+8AU611bJ5OQk/vrXv+Kpp56CWq0Odjghw+LiIv70pz/hc5/7HNLS0oIdzpoJOblYrVb86le/wn333YfCwsJghxMSiDk7fPgwiouLgx1OyGCz2aS8FRUVBTuckMBkMuHFF1/Eww8/HFJzMoKNw+HAr371Kxw4cAClpaXBDscnhJRcxNE6xcXFNHx2lQiCgBdffBEFBQUhOZwxWIjnWlFREe666y7K2yoQR4Zt2bIFNTU1lLNVIggCfvvb3yIrKwv19fXrJm8hIxdxFVWe5/GZz3xm3RwAfyIIAt544w04HA589rOfpZytEkEQ8Prrr9O55gErl4F/9NFHKWerhDGGv/3tbzAajfj85z+/rvIWEnIRBAHvvfeetIoqjTy5PTzP4+9//zsGBgZw5MgRytkqcblceOuttzA6OoqvfOUrlLfbwBiDy+XCm2++Ca1Wiy9/+cshO3Q20PA8j4aGBly5cgVHjhwJ6ZFhN0K232Z8fBwcx8FisaCzsxPDw8O0iuptGB8fh0KhAM/zOHHiBBYWFmhl6FXQ09OD2NhYmEwmNDc3w2Kx4Ktf/Sqda7egt7cXsbGxmJiYwOXLl6HX62lk2CoYHR2FSqWCTqdDe3s75ufn8fTTTyMuLi7Yofkc2crltddeAwCoVCpkZ2fja1/7GhISEsAYC3Jk8kXMGWMMhYWF+PSnP43o6GjK2W1oaGiAw+GAUqmERqPBvffei4iICMrbLTh69CgcDgfi4+NRUFCAPXv20Lm2Ct566y0IgoCoqCikpaVJD3/rMW+ylEtMTAzuuusuMMYQFhaG8PBwTE5OYnJy0mefkZWV5bP3kgMxMTHYt2+f23+PjIz49DPWW86Aq3kqLS2Fw+GASqVCREQEBgcHffoZ6y1vK3MWFRUFpVJJ59oqEK9RQRAQEREBlUqF0dFRn36GnPLGMRkqk+d5v38Gx3Hrqm2YcuYdlDfPoZx5x52WN1nKxRN4nofFYkF0dDR1vq4Sypl3UN48h3LmHeshb/JQ3BqYnZ3FD3/4Q8zOzgY7lJCBcuYdlDfPoZx5x3rIW8jLhSAIgpAfJBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkhLRfGGLRaLfR6PbRaLRhjwQ5J9lDOvIPy5jmUM+9YN3ljIcjy8jJ79tlnWWFhIQMg/RQWFrJnn32WLS8vBztE2UE58w7Km+dQzrxjveUt5OTy4YcfspiYGMZxHOM4zu0giP8vJiaGffjhh8EOVTZQzryD8uY5lDPvWI95Cym5fPjhh0ypVDKFQuGW/Gt/FAoFUyqVIXUg/AXlzDsob55DOfOO9Zo3jrHQaNDT6XTIzs6G1WqFIAi3/XuFQoGoqChMTk5CrVb7P0AZQjnzDsqb51DOvGM95y1kOvRfeuklWCyWVR0AABAEARaLBX/4wx/8HJl8oZx5B+XNcyhn3rGe8xYSlQtjDMXFxRgeHvZo5ATHcSgoKMDAwAA4jvNjhPKDcuYdlDfPoZx5x3rPW0jIZXFxEampqWt6fXJysg8jkj+UM++gvHkO5cw71nveQqJZzGQyren1RqPRR5GEDpQz76C8eQ7lzDvWe95CQi6xsbFren1cXJyPIgkdKGfeQXnzHMqZd6z3vIWEXJKTk1FYWOhx+yLHcSgsLERSUpKfIpMvlDPvoLx5DuXMO9Z73kJCLhzH4etf/7pXr33mmWdk3enlLyhn3kF58xzKmXes97yFRIc+sL7Hg/sLypl3UN48h3LmHes5byFRuQCAWq3Gm2++CY7joFDcOmyFQgGO4/DWW2/J/gD4E8qZd1DePIdy5h3rOm+BXhJgrax2DZ6jR48GO1TZQDnzDsqb51DOvGM95i3k5MLY1dVDn3vuuRuuHvrcc88xnU4X7BBlB+XMOyhvnkM58471lreQlIuIIAissbGRAWCNjY1MEIRghyR7KGfeQXnzHMqZd6yXvIVMn8uN4DhOantUq9WyHz0hByhn3kF58xzKmXesl7yFtFwIgiAIeUJyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueErFxMJhP6+/tx+fJlAMDs7CwcDkeQo5I/JpMJY2NjAICenh5MTExQ3m6D0+nE1NQUenp6AABDQ0PQarUQBCHIkckbOtc8Zz3d1zjGGAt2EJ4wPDyM3/zmN3j77bcxMTEBp9MJu92O+Ph47NixA1/4whfwyCOPIC4uLtihyoqVeRsbG4PVakV4eDhiYmKwZcsWytsN0Ol0ePPNN/HnP/8ZXV1dMBqNcDgciIyMRGpqKvbt24ennnoKe/fuhUqlCna4soHONc9Zj/e1kJELz/N4+eWX8e1vfxtWqxX33Xcf7r77buTm5kIQBAwODuKDDz7A8ePHUVFRgZ///OcoKysLdthBh/LmHWfOnME3vvENXLp0CdXV1XjggQewdetWxMbGQqfToaOjA++88w4GBwfx+OOP44c//CFSU1ODHXZQoXPNc9Z1zlgIwPM8+4//+A8WExPD7rvvPnbx4kXmcrlYS0sLe+6559hzzz3Henp6mMPhYCdPnmRVVVVs06ZN7PLly8EOPahQ3rzj6NGjLDMzkxUXF7M33niDWSwWptPp2C9/+Uv23HPPsd/97nfMarUyg8HAfv3rX7OsrCx29913s9nZ2WCHHjToXPOc9Z6zkJDL8ePHmVqtZp/+9KeZVqtlgiAwxhj7X//rfzEADAD74x//yBhjTBAENjY2xvbs2cNqa2vZ8vJyECMPLpQ3z+nr62P5+fls8+bN7MqVK1LOhoaGWEJCAgPA8vPzmVarZYxdzdupU6dYdnY2e/LJJ5nNZgtm+EGDzjXPWe85k32HvtVqxfe//32kp6fjZz/7GdRqNTiOu+nfcxyHnJwc/PznP0d/fz/+9Kc/BTBa+UB58xye5/GjH/0Iy8vL+Pd//3eUlZXdMmfA1bzV1tbiJz/5Cf7+97/jww8/DFC08oHONc+5E3Ime7l0dHTg7Nmz+OpXv4oNGzbc9mIHrh6I7du347HHHsPvf/97WCyWAEQqLyhvnjM4OIh33nkHjzzyCGpra1eVM+Bq3j75yU9i165dePHFF+Fyufwcqbygc81z7oScyX6Iy4kTJxAREYH6+nr09PS4Xbhzc3PSv4+Pj+PSpUvSf6vVanzyk5/En/70J4yOjoZOJ5iPoLx5TktLC0wmEx599FGMjo7CbDZLv5ucnATP8wAAh8OBrq4uxMfHS7/PysrCI488gu9973uYnZ1FdnZ2wOMPFnSuec4dkbNgt8vdjieffJJt3LiR9ff3s9zcXBYZGSn9qFQqqW0yLCzM7Xdf+tKX2MjICEtJSWEffPBBsL9GwKG8ec6//Mu/MLVazXp6elhdXZ1bXiIiIqSccRzn9ruoqCj2i1/8gjU1NbG4uDh27ty5YH+VgELnmufcCTmTdeXCGIPNZkNERASUSiVsNhtsNtsN/9bpdMLpdEr/7XA4EB4eLr3uToLy5h1WqxUqlQoRERGw2+03/f5iflficrkQFRUFxhjsdnsgwpUFdK55zp2SM1nLheM4pKSkoLW1FTzP4+DBg9DpdNLvBwYGMDw8DADYsmULsrKypN9t3boVOp0OVqsVY2NjuHTpEpKSkpCUlITo6OhAf5WA4ou82Ww2xMTEBDr0oJKWlgar1QqdToeamhq372+1WtHS0iJJZM+ePdLESY7jkJubi/n5eSgUCiQmJgbrKwQUQRAwOzsLnueh1+u9PtfsdjuSkpICHX5AcblcWFhYwOzsLGZnZ7G4uAidTreucyZruQBAZWUlXnrpJczOzuLPf/6z2+/+9//+3/jRj34EAPjv//2/43Of+5z0O47j8Mc//hEREREoKirCzMwMBgcHAQCRkZGSaJKSkpCYmAilUhm4LxUA1po3hUKBsbExHDt2DOnp6UhPT0dSUhIUCtmPAfEKi8WC+Ph42O12tLa24sc//rHb74eHh1FdXQ29Xo/09HS8+uqrUKvV0u85jsO3v/1tpKamYsOGDQGOPnCYTCaMj49jbGxMWs4lLi5OunF6c65FRkaisLAwoN/D3xgMBkkkokwEQYBKpUJ6ejpqampw7ty5dZ0z2cvl0KFDiIuLw0svvYTdu3e7LbOx8kanUCjcBGGxWPCHP/wB+/fvx7333gulUgm73Q6tViv99PT0gOd5cByHhIQEJCcnS8IJ9af2Q4cOITo62uu8HTx4EHfffTcWFxcxNjaG/v5+qFQqpKWlSbKJiooK6HfyNYwxTExMoKurCyMjI7Db7cjMzMRLL72EJ554wq3DfmWOOI5zyxtjDNPT03jjjTdQVlaG1tZW5OfnIzc3F5GRkQH/Xr6E53nMzMxIQllaWgLHccjIyMCOHTuQl5eH++67Dx9++KHX51ptbS0yMjIC+r18idPpdKtKZmdnpZFcCQkJyMjIQGlpKTIyMpCcnAyFQoFt27bhd7/73brOmezlotFo8LnPfQ6/+c1v8KlPfQr333//bYftCYKA3//+9zh//jz+9re/SQcnIiICmZmZyMzMBHD1pmAwGKDVarG0tIS5uTkMDQ1Jf3ttdRMq60eZzWZcuXIFW7duxWuvveZ13vLy8pCXlwfGGPR6Pebm5jA3N4cLFy6AMYb4+HhJNOJFEwqYzWZ0d3eju7sbRqMRycnJqK2txaZNmxAdHY1vfvObeP755/Gtb31rVcfcbrfjBz/4AaxWK77zne8gLCwMfX196OnpQUZGBjQaDdLS0lY9tDnYGI1GjI2NYWxsDJOTk3A6nYiOjkZubi6qqqqQk5PjJs2UlBSvr9G2tjb89re/DamWA71ef11VwhhDWFgY0tPTUVZWhoyMDGRkZNz04cKX9zW5Ivu7pUKhwL/8y7+gubkZR44cwe9+9zscPHgQCoUCCoUCKpUKHMeB4zgwxsDzPF555RV897vfxZEjR7B3796bvrdYsSQkJCA/Px/A1Q6zldVNX18fXC4XOI5DfHy8W3UTGxsbqDSsmp6eHjQ3N0OlUuH//J//g3/+539ec944joNarYZarcamTZvgdDoxPz+Pubk5TExMYGBgAEqlEqmpqcjIyEB6errs+rUYYxgbG0NXVxdGR0ehVCqxceNG6UYg8sUvfhGnTp3Cj3/8Y0RHR+PIkSPSDUKlUkGlUrlVLEajEf/6r/+KV155BT/72c9QU1MD4Gpb+cTEBEZHR3HmzBlERUVBo9EgLy9PdtUMz/OYnp6WhLK8vAyO45CZmYnKykrk5eUhJSXlpje/tVyjn/70p8FxHM6cOYPt27fLrhp2Op2Ym5tzk4nYkZ6YmIiMjAyUl5cjMzMTSUlJq36A8Od9TS6EzMKV3d3d+PznP4/R0VEcOXIEX/rSlyAIAqanpwEA+fn50Ov1+MUvfoGXX34ZTz75JH7yk5+s+SYn3kDE6kar1cJoNAIAwsPDr6tuwsLC1vxdvcFkMuH48eMYHx9HSUkJamtrEREREZC8raxqlpaWwBhDbGysJJrk5OSgPWWZTCapSjGZTEhJScHmzZuxceNGhIeH3/A1CwsL+NrXvoZ3330Xhw8fxje+8Q2Ulpair68PgiAgPDwcRUVFaG1txU9/+lNcuHAB3//+93HkyJEbfs/l5WWMjo5icnISgiAgPT0dGo0G6enpQatmDAaDW3XicrkQExODvLw85ObmIicnBxERER69p7fnmsFgwPnz58HzPLZs2YK8vDx/fOVVsby8jNnZWczNzWFmZgZarRaMMYSHhyM9PV2qSNLT033ykLDanP3Hf/wHXnnlFZ/d1wJByMgFAKampvDFL35RehIsKytDTk4OeJ7H6Ogo+vr6kJycjP/xP/4HPv/5z3t8cawWp9PpVt1otVppuGB8fDySkpKkCic2NtbvN5Du7m6cPn0aYWFhOHjw4HUX59TUFH7wgx/g1VdfhUql8mvexPZnUTZWq1WqasQmNH/3ZwmCIFUpY2NjUKlU2LhxI8rLy5GWlraq9zCbzXjxxRfx/PPPY25uDgUFBSguLkZcXByWl5fR19eH6elpVFZW4rvf/S72799/22ZBl8slVTN6vR5RUVFS06O/n9hdLpdbdaLT6aBQKJCZmSnFkJycvObP8fZcczqduHTpEsbHx5Geno4dO3b4PScOh+O6qkQcRp6UlCSJJCMjA4mJiX67jleTs8jISHzzm9/EP//zP/vtvuZrQkouIyMjePfdd1FWVob29na0trZifn4eYWFhyM/Px8GDB3HPPfes+gbiKxhjMJlMUmWj1WphMBgAAGFhYW7VTVJSks+qG6PRiOPHj2NiYgKlpaXYu3fvTU88nufR09OD9957L6B5MxgMblWNIAiIiYmRnv5SUlJ8VtUYDAb09PSgu7sbZrMZaWlpKC8vR3Fx8U2rlNsxOzuLxsZGnDx5EsPDw7DZbEhMTMTmzZtxzz33oKamxqunSJ1OJ1UzLpfLrZrxVd+VTqeTZDI1NQWe5xEbGyvJJDs72+u83Iq1nGtzc3M4f/48nE4ntmzZAo1G45OYGGNSVSL+aLVaAFf7V1eKJD093S95uRW3y1l8fDzi4+Nx4MCBgMa1FkJKLq+++ioiIiLwyU9+EgCktkiO42TXueV0OrG8vOxW3Yg7yonVjfgTFxfn8VNRV1cXTp8+jYiICBw8eBC5ubmrfm2w8iaO9RdlY7FYoFQqkZKSgrS0NGRkZHjcjyUIAkZGRtDV1YXx8XGEh4dLVYqv91fheR6MMald3Be4XC5MTU1hdHQUy8vLiIyMlG7+nkpL3DFTFIrBYIBSqXSrTgI9N8Kbc83pdOLy5csYGxtDWloaduzY4XEu7Ha71LQlVicOhwMcx11Xldxu0chAc6OcLS4uorm5GTU1NdKAJLkTMnIZHh7GBx98gE996lNuk4pCiRtVN+Iok8TERDfh3OzJyWAw4Pjx45icnER5eTn27NkT8KcsX2E0GiXRiPMAoqOjpbbt1NTUm96QDAYDurq60NPTA4vFgvT0dKlKCVa/11rR6/UYHR3FxMQEXC4X0tLSoNFokJGRcVOZLS8vSzKZnp4Gz/OIj49Hbm6uVJ2Eaj5WVjGbN2+GRqO5oQQYY9BqtW5VyfLyMoCrc9pWiiQtLS1kr5fm5mY4nU4cPHgw2KGsipCQC2MMr776KiIjI6WqZT3gcrncqpulpSWpuomNjXUbmRYXF4euri6cOXMGkZGROHjwIHJycoL8DXwHz/NuVY3ZbIZCoUBycrIkm+joaKlKmZiYQHh4OEpKSlBeXu6T/gK5wPO8VM1otVpERERIlUd4eDgmJycloRiNRiiVSmzYsEHqjF9PKwS4XC5cvnwZo6OjSE1NRUVFBRQKhZtI5ubm4HQ6pZUpVsokISEh2F/BZ4Ra9RISchkaGsKHH34Y0lXLajGbzW4j0/R6vTTiyWazYdu2bTh06BDS09NDpmPPG0wmkySa0dFRjI2NYX5+HuHh4SguLsauXbtQUlISMnOPvMVgMODChQs4f/681LSTmJiInJwc5OfnIy8vDxs2bFi3eRAEAUtLS+ju7kZLSwvm5+elCc/R0dHIyMhAZmYm0tPTkZaWFrJV2mppbm6Gw+HAwYMHZdWUdyNkLxexaomKisLDDz8c7HACCmMMFy5cwLFjx8DzvHQzFcfZx8TEuFU38fHxITOR8XbwPI/h4WGpL8XpdCI5ORlxcXFQKBTgOA7JyclSB+zK2fShjsPhwMTEBMbGxjA+Pg6TyQSFQoHIyEgoFAppkEhOTg40Go0s51t5i8VicRvBNTc3B5fLJa3ZZrVaYbVaUVhYiH379oX8ShqesrS0hKamJuzcuVP2D9qyl4tYtTzyyCMhUQr6Cp1Oh+PHj2N6ehpbtmzB7t27pacyi8VyXXUjCAKUSuV1fTdym7B3O5aXl9HV1YXe3l7YbDZkZWWhvLwchYWF0tO52WyWqpqFhQXwPI+oqChpUEBqamrIPcGKy+yMjY1hdnYWgiAgMTFR6jvJysqSvr/RaJT6ZhwOB1JSUqDRaJCZmSm7gS23QhAELC4uujVxiaMsxRGF4k9qaqr0/RcWFtDZ2Qm73Y7y8nIUFBTI/inel5w+fRp2u1321Yus5cIYwyuvvIKYmBg89NBDwQ4nIDDGcOnSJZw9exYxMTE4dOjQbZ9QeJ6HTqdzG5lmtVoBANHR0W7zbhISEmRX3bhcLgwNDaGrqwvT09OIjIyU+lJu13/A87y0dM/c3ByMRqPbiKC0tDS3BSblgt1ud6tOzGYzwsLCkJ2dLfWd3K4aE9f9Gh0dxeLiIsLDw6VqJi4uLkDfZPWYzWY3kczPz4Pnebd5UGIT1+3id7lc6O7uxtDQEJKTk1FRUbGuKrhbESrVi6zlMjg4iKNHj+LRRx+V/SJtvkCn06GxsRGzs7PYtm0bampqvH4Ct1qtbgMFdDodBEGQmhdWVjfBWnJDq9VKVYrdbkd2drb0JOrtE7jYrDI3NyfdvCIjI90W3AxGVcMYu646YYwhKSlJ6qxfS+VhMpkwOjqK8fFxOBwOJCcnQ6PRICsrKyjVzMoBGuJwYHFlC3H1hpVVibcxLi4uorOzEzabDWVlZSgsLJT107yvaGlpgc1mk3X1Ilu53ElVi9i3cu7cOcTFxeHQoUM+bwIUBOG66kZcuTUqKsqtulGr1X6rblwuFwYHB9HV1YWZmRlERUWhtLQUZWVlPq8wxM5gUTYGgwEcxyExMVESjT/nONhsNoyPj0s/FosFYWFhyMnJkaoTX1cYgiBI1czCwgLCwsKkpjV/9kuZTCa3qkRsrlQqlVJzpfjj634SnufR3d2NwcFBJCUloaKiQpaVmy/RarU4deoUqqurZbvFg2zlMjAwgI8++gif/vSnkZ6eHuxw/Mby8jIaGxsxNzeH7du3o6amJmAjf2w223XVDc/zUCgUUKvVbtXNWtcyWlpakqoUh8OBnJwclJeXIz8/P2BP1lar1a2qcblciIiIcKtq1jIHgjGG+fl5aXn6ubk5MMaQnJwsVScZGRkB+75ms1mqZsTNpTQaDTZs2LCmGHiex/z8vJtMzGYzgKsThMVBFpmZmQFdV25paQmdnZ2wWCwoKytDUVGRbJ/qfUFLSwusVisOHToky+8pS7kwxvDyyy8jLi4On/jEJ4Idjl8QBAEXLlxAa2sr4uLiUFdXF/SmP0EQoNfr3aob8aaxcoO15ORkqNXq2940nE4nBgYG0NXVhbm5OURHR0tVSrDnHwiCAK1WK8lGr9cDgFTVrHbmttVqlSqTsbEx2Gw2hIeHIzc3V6oYgj2iSdwxcnR0VFpWJDs7GxqNZlXHQdz4SmziWrnx1bVVSbAXVBSXURkcHIRarUZlZeW6rWLkXr3IUi7rvWrRarVobGzEwsICduzYgerqatnOU7h2gzWtVistTXFtdSPeRBcWFtDV1YX+/n44HA7k5uZKVYrcBhOI2Gw2t6rG6XQiPDzcraqJiIgAYwxzc3NS38n8/DwAIDU1VZLJrWbUBxuz2SwNIhDXSROrGZVKBZfLdV1Vcu3GV+KPnPfw0Wq16OzshNlsRmlpKYqLi2X5dL9Wzpw5A4vFIsvqRXZyEauW+Ph4PPjgg8EOx6cIgoDOzk60tbVBrVZLkyFDCXGDtZXL2JhMJrhcLiwuLkKr1cJutyMlJQVVVVXYsmVLyM1BEZcTEWUjDnkW51hERkYiMTFRaurKyckJenXiKYIgYG5uDleuXEF/fz8MBoO0ZlpUVJS08dXKxRzlttfK7eB5Hr29vRgYGIBarUZFRUXInYu3Y3l5GSdPnkRVVRWys7ODHY4bspNLf38/Pv74Y/zDP/xDwFc39idLS0tobGzE4uIiKioqUF1dHVJzEm7G/Pw8Lly4gAsXLsBgMCAuLk7a20apVCIhIcGtugmF4aLijXflml1GoxEqlQqRkZFQq9Vuy4ykpaWFxHyilRtfif+0Wq1wOBxwuVzgeR7R0dHQaDTYunUrcnJyZFtRe8Ly8jI6OjpgNptRUlKC4uJi2VZc3iDX6kVWchEEAS+//DISEhLWTdXC8zw6OzvR3t4OtVqNurq6kJemw+FAf38/rly5gsXFRcTGxqKsrAylpaWIi4vzaIO1pKQkWdzAVjYXicN5IyMjpaau3NxcREVFSUu3ixWNuEBiQkKC1HyWlJQki5uXGKfYvCVu5Hazja/EJr/R0VHMzc1BoVBIfTOhvl6ZIAjo7e1Ff38/EhISUFFREfR+P18hVi+VlZWyWm9QVnLp6+tDQ0PDuqlaFhcX0djYiKWlJVRWVqKqqiqkq5XZ2Vl0d3ejv78fPM9Do9GgvLwceXl5t31iut0Ga9duH+3vJzBxyK5YnSwtLQEA0tPTpeau1ex7b7fbpS2f5+bm4HA4pI5uUTaBaE66duOrubk5aZkgbza+slqtUm6sVisSEhKg0WhCepVl4Opcso6ODhiNRpSUlGDjxo2yeBBYK2fPnoXJZEJdXZ1sqhfZyEWsWtRqNR544IFgh7MmeJ5He3s7Ojs7kZSUhEOHDvl8b5FAYbfb0dfXh66uLiwtLSEuLg5lZWUoKytbUz/DyuomUBusmUwmt619HQ4HoqKi3KqTtTRvMcag0+ncqhrGGOLj4yXR+KIT/HYbX62c6b7WBU7F4dWjo6OYnZ2FQqHAhg0boNFoAr43jK8QBAF9fX3o6+tDfHw8KioqZLmKgyfodDqcOHFCVtWLbOQiVi2PPfZYyN6IgasjpRobG7G8vIyqqipUVFSEZLUyMzODrq4uDAwMQBAEFBQUoLy8HDk5OX57MvL1Bmvi8iiiULRaLTiOQ0ZGhiSU1NRUv30fh8PhVtXY7XaoVCq3LZ9XM3RX3PhqpUyCsfGVzWaTcmmxWBAfHy9JORSrGZ1Oh87OThgMBmzcuBElJSUhXcXIrXqRhVwEQcBf/vIXJCUl4f777w92OF7B8zza2trQ2dmJlJQUHDp0CCkpKcEOyyNsNptUpWi1WsTHx6O8vBwlJSVBGw21mg3WkpOTkZiYiPDwcBgMBmnOyeTkJJxOJ2JiYiSZ5OTkBGWrAsYY9Hq9JBqtVgvGGOLi4iTRpKSkgOM42W98xRjDwsICRkdHMTMzA4VCgaysLGg0mpDbV0cQBPT396O3txdxcXGoqKgI2f4luVUvspBLb28vGhsbQ7ZqmZ+fR2NjI3Q6Haqrq6UNjUKF6elpdHV1YXBwEIwxqUrJzs6WxRPQSq7dYE2ck7GwsACTyQRBEBATE4OCggKUlpZCo9HIUvJOp1Oazd/X1yetCCyu8JyQkICsrCy3Ji45Nt2IS9yMjY3BbDYjLi4OGo0GOTk5IbXjo16vR2dnJ/R6PYqLi1FaWhpS17DIuXPnYDAYUF9fH/RrN+hyEQQBf/7zn5GSkoL77rsvmKF4DM/zaG1txfnz55GSkoK6urqQeXKz2Wzo6elBd3c3lpeXkZCQIFUpwZ5lfTv0er3UPDM1NQWz2Sz1bURHRyMiIgJKpRIqleq6RTqDucHayrXOxMUcdTodgKvVQEREhLRXTXx8PNRqtVtVI+fmVXFhTrGaASBVM3KU+40QBAEDAwPo7e1FTEwMKisrQ66K0ev1OH78OCoqKpCbmxvUWIIul56eHhw7dgyPP/54yJyEwNX9vRsbG2EwGLBz505s375d9k86jDFMTU2hq6sLw8PDAOBWpcgVl8uFqakpSSh6vV5qihGbu1ZKnef567aPttvtAK7fYC0hIcFvT3hWq/W67XjFja+u3Y535eQ+cZa82IRmtVqhVCqRkpIiyUbO84XE7QRGR0dhMpkQGxsrVTOhsHuqwWBAZ2cndDodioqKUFpaKmuxX4tYvdTV1QX1nhRUuYRi1eJyuXDu3DlcvHgRaWlpOHTokOxHzVitVvT09KCrqwt6vR6JiYlSlSLXyX/Ly8tSc8vU1BR4nkdcXJw0THjDhg0eNbv4e4M1bze+Wg0Gg0ESzdLSktT0J4pmLUvW+xuxmpmengYAZGZmStVMsJttbgVjDAMDA+jp6UF0dDQqKytlf52LyKV6Capcuru7cfz4cXzmM58JieakmZkZHDt2DEajETU1Ndi2bZtsqxXGGCYnJ6UqheM4FBUVoby8XJYbDDmdTkxOTkpCMRgMUCqVyMrKkoTiyyaKazdYW1pakuaFREdHX1fdXHucxY2vxCYuce8YhUKB1NRUN5n4cuFEl8sl7ZMyNzcHi8UiVUKibOS4UKO4dfPo6CiMRiNiYmKg0WiQm5sr62rGaDSio6MDy8vLKCoqQllZmWxFvpLW1lbodDrU19cH7R4VNLnwPI8///nPSEtLw7333huMEFaNy+XC2bNncfHiRWRkZODQoUOybYs1m83o7e1FV1cXDAYDkpKSUF5ejk2bNsmuStFqtdKs+OnpafA8Lw1vFauTQA5xFTdYE6sbcYM18Qmb53nY7XZYLBapmc2XG195g9FolEQjrlYcHR3tVtXIYQWElSwtLWF0dBRTU1NgjEnVjD+Hha8FxhgGBwfR3d2N6OhoVFRUyP5h2GAw4NixY9ixYwfy8vKCEkPQ5BIqVcv09DSOHTsGk8mEXbt2Ydu2bbK7ABhjmJiYwJUrVzAyMgKFQoHi4mKUl5f7fNOxteBwONyqE6PRCKVSiQ0bNkhCkcOIKHHjq+npaQwNDWF8fBxGoxE2mw1RUVFITExERkYGCgoKkJ2d7fcN1lbLyt0f5+bmYDaboVAokJycLMlGTgs3itWMWKlGR0dL54HcHoSAq+dFR0cHtFotCgsLUV5eLusqJtjVS1DkIlYt6enpOHz4cKA/flU4nU6cPXsWly5dQmZmJg4dOiSLG99KzGYzuru70d3dDaPRiOTkZGzevBkbN26UTVPD0tKSW3UiCALUarU0+U5c6j1YeLrx1cplbPy9wdpaMZlMblWNOMxZFE1aWppsqhqtVitVM4IgICMjAxqNZlVL8AQSxhiGhobQ3d2NyMhIVFRUyHYgkli9bN++HRqNJuCfHxS5dHV14cSJE3jiiSdk2Uk2NTWFY8eOwWKxYPfu3diyZYtsTnDGGMbGxtDV1YXR0VEolUps3LgR5eXlsli+f+XTqDj3QaVSITs7WxJKMBcMFDvHV27Hu5aNr1azwdrK7aOD9aTL8zwWFxcl2ZhMJnAc51bVyGEhR7HvbWRkBAaDAVFRUVI1I6cl/00mEzo7O7G0tCSNuJSLqFfS1taG5eXloFQvAZeLWLVkZGTgnnvuCeRH3xan04mWlhZcuXIFWVlZOHTokCwuOOBq27o4L8VkMiElJUWqUoI9WW1xcVGSyczMDBhjbvudZGVlBeWmGqyNr1ZusLa0tITl5eXbbrAWaMxms9teNTzPIzIy0q2qCfaSLsvLyxgdHcXk5CQEQUB6ejo0Gg3S09Nl8bDHGMPw8DC6uroQERGBiooK2U0CNxqNaGxsDEr1EnC5iGuIybFqOX78OAYGBrB7925s3rxZFiewyB//+EdYLBapSpHLqtFmsxm/+93vpK1zxepEDm37AwMDOHr0qNvGV+I/A/kULC79srK6MZlMiIuLw9133x2wOG6GOIxalI3RaIRGo8GOHTuCHRqAqw8Jk5OTGB0dhU6nk83yJiJms1mqYu65556gN4deS1tbm9T3Esh7mk/k4ulbGAwGr24+3iTGk9gcDgcEQfCqM9HfsZnNZkRGRnpVAfg7NoPBgNjYWK+e/D2NzZO4XC4X7Ha7V9WBv3PmcrngcDi8uhH5OzZxJJw3/XaBuA6ioqJkd64BkCaMekogjifHcV61cKxFRj6RS2trq187tcQLcfPmzR6/1t+xOZ1OOJ1Or2I7d+6c3/O23mKTa1zA1RGQ/mxGFQQBTqcTBQUFHr+2p6fHr7HxPA+Xy4X8/HyPX9vb2+vXSlfMm6exUc48z9lKfNIDJS4v7w+0Wi0aGxuRkJDg1QXvz9jErYvXElt1dbUfIvuv2OLj49dVbHKNC7javl1aWuqHyK7OwWlpaUFsbKxXchE3x/IHNptNis2bm5HRaMSmTZv8ENnV2M6cOeNVbJQz72IT8YlcOI7zy0gExhjefvtt7Ny5E5OTk16/jz9jq6mpwcTEhNfv4++8rcfY5BoXx3F+a9NubW1FYmKitHunN/grtra2NiQkJIDnea9e78+8dXZ2Ij4+HoIgePV6ypn3yHPtkv9kZmYGDocD5eXlwQ7lOuQc2/T0tNfNiP5mZmYGdrtddrHJOWeMMWi1Wmzbti3YoVwHYwxLS0vYvn17sEO5DnGlZrnl7U7JmWzlwhjDe++9h7vvvltWo7aAq7G9++67FJuHMMbwzjvv4J577pFVbHLOGXB1d1OFQiHLeRQGgwEcx8lypro47FxuedPr9bLNmdVqBeCbnMlWLiMjIwDgVfuyvxGXqy8sLAxyJNczNDQEQJ6xjYyMgDEmu9jknDPg6iCGioqKYIdxQ86ePYuSkhJZSrmtrQ35+fmyi+3s2bMoKyuTXVzA1Zzl5eX5JDZZyoUxho8//hj333+/7A6A3GP76KOP8OCDD8oytqNHj8ouNjnnDLg6osjpdMpqXocIY0yaeyU3xLlFcmu2ZozBarWiuLg42KFcB2MMOp3OZ03DspRLd3c3wsLCZLk0fFdXF8LCwrBhw4Zgh3Idly5dQkREBOXNA+ScM+BqfGq1WpbiGx8fR3h4eNAX7LwRi4uLUCgUsmt6GhoaQmRkpCyPp1ar9Wnzq+zOCsYYTp06hYceekh2B0CM7eGHH5ZdbIIgoLm5GZ/85CdlFxtjDCdPnpRd3uScM+Bq3kZGRrB79+5gh3JDLly4gJqammCHcUPa2tpk2ZF/5coV2R7P1tZWbN261WfvJzu5tLe3IzY2VpbL8Le2tiIuLk6WsZ0+fVpat0punD17FvHx8bJbPVbOOQOuzmXgOE6Wy887nU4IgiDLa0Gc2Cy3pkSTyQTGmGzWK1yJ0+mEw+Hw6c6VspKLIAhoa2uT5ZMkz/Nob2+XZWxOpxMXL17Epz71KdnF5nK50NHRIbvY5JwzkTNnzsi2s7y1tRWZmZmyjK29vR0ZGRmyi62lpQWlpaWyiwu4ejyzsrJ8Gpus5HLq1CmkpKR4tT6Pv2lsbPT5lrW+gDGG999/HxqNRnYL5gHA0aNHkZ2dLatjKg5zl2vOgKsxms1mv83CXguMMczPz6OysjLYoVyHuD+P3GJzOp2wWCyyPJ5OpxOLi4s+H5EoG7k4nU50d3fLsq/FbrdjYGAADz74YLBDuQ69Xo+JiQlZbhVtMBgwMjKCBx54INihuKHT6TA5OSnLnIkMDg56vUCjv5mYmEBYWFjQl+S/EefPn0dycrLs5racPXsWGzZskN29Dbg61N0f22LI5sz94IMPoNFoZNe+zBjD3//+d5SUlMhmd0cRxhjeeust7NmzR3YXkxhbTU2NrG5CYly1tbWyy5mInDt+GWM4f/48du3aFexQrkMQBExNTclukIG4pYHcqingarP10tKSX+ZRyUIuer0ek5OTsts8DLg6O3pxcREHDx4MdijX0dvbC5fLJZt9N1bS09MDh8Pht0VDveXixYsAILuRRCsxGo0AIMuOX71eD8aYLDvyr1y5gvj4eFk9zABXz7lg7kJ6Kzo6OpCamuqX2IIuF8YY/vrXv2LXrl2ye5IUq5ZDhw7JrnmC53kcO3ZMlgMMXC4Xjh8/LrvYHA4Hmpub8cgjj8gqrpUwxnD69GmUl5fLLkbGGFpaWrB161ZZxibHYduMMYyOjmLPnj3BDuU6GGOYnZ312yrjQb1jMsbQ2toKjuNk9/TNGENTUxOio6Nl2QnX2NiItLQ02W2rKg4wyM7OllVs4oNCcXEx1Gp1sMO5KRaLRbYzuJeXl+FwONa0DLu/GB4eRkREhOyarsVJk8HeivxGDAwMICoqym+VXlDlMj09jc7OTjz66KOyexKamprClStXZPmUu7y8jP7+ftlNSgSuHtOJiQk88MADsoptYGAAS0tLAd/q1RPEBxo5Dj8WK6qKigrZxSYIAq5cuYK9e/fKKjax70xucQFXY+vp6fFrpRc0uZhMJrz77rs4fPiwrIapAldHE7377ru49957A7rX+mpwOBx48803sW/fPtk9Ddntdrz99tu49957ZdXEqdfr8fHHH+Phhx+WZbu3yPT0NGw2m982HPMW8SYZHh4uu4mJjDF0dnZCrVbL7j7S3d2NqKgo2U1fAK7210ZFRfk1Z0GRi8PhwBtvvIFt27bJrsS2Wq144403UFVVJbvYHA4H3nrrLWRlZfl0mQZfwPM83nzzTRQVFclqJWur1YrXX38dNTU1yMjICHY4N8Vut6O1tVWWT7lzc3MYGhrC/v37ZRWbIAi4fPkyFhcXsWfPHlnFptVq0d/fj7vuuktWcQFXd1zt7+/Hvn37/BpbwB8vnU4n/vrXvyIjIwM1NTWySrzL5cLrr7+O4uJiVFZWyio2q9WKv/71r0hISMC9994rq9jEfpawsDDU1dXJJjan04k33ngDBQUFATuejDGPP0cQBJw4cQJ5eXl+XSLHm9gsFgvOnj2LXbt2+XWagNFoRHR0NBQKxapitNls6OzshM1mw/79+/3Wb2Cz2aR+nNXEJW4E1tLSgh07dvi15cPlckGpVK76mDLGsLCwIG3h4O9WmYDJhTEGo9GI999/H/Hx8QHdMOp2F5W4dPiHH34ItVod0KeN1cS2tLSEd999F9nZ2bIbueZyuXDs2DHo9Xo8/vjjAYltNTmz2Wx45513oFarcfDgwYAdz/b2dqSmpiIpKQkxMTG3vVkKgoAzZ84gIiICO3bs8Guc3d3dSE1NRUJCgtSkeqvPc7lcOHHiBDZt2oT09HS/xQVcnWSoUqmQlJSElJQUqNVqREZGXpc/cVn41tZWpKamYufOnX5tgj158iRiY2ORkpKC5ORkt6HO1+bObrejp6cHU1NT2Lp1K/Ly8vwWFwA0NTVBrVYjNTUVarVamnR7o2PqcrkwMDCA4eFh7NixIyCrk/vsqIj7LsfFxSE6OhoqlQqMMbhcLjgcDkxOTuL8+fMoKirC3r17A3qD7OjoQEJCAuLi4hATEwOVSgWe52E2mzE7O4uZmRnMz88jLS0t4LsRnjlzBgkJCYiPj0dsbKy0hLkgCLDb7RgaGsKFCxewfft2VFVVBTS2CxcuSHFFR0dDqVRK+4s4nU4sLy/j4sWL4DgOn/70pwM2v6ClpQVqtRoJCQmIiYlBREQEOI6DIAiwWq2YmprCxYsXkZqaGvBdL+Pi4jAxMYHe3l6Eh4dLN8u4uDjp2DLGpOPb3d0Nm82GAwcO+D1Ou92Oy5cvw+VyIS4uTpJgVFSUdGztdjsEQQDHcdL8jEAMMKitrYXBYMDi4iKGhoZgs9kQGRmJpKQk6aauVCoxNzeHy5cvo6ysLCAbge3evRtLS0tYXFzE+Pg4GGOIj49HcnIyEhMTpWprcXERV65ckR5OY2Nj/R7b5s2bsbi4iJGREVitVkRERCApKQlJSUnS+QZcHQDU29sLpVKJffv2IS4uLiDXhM/ksry8jPHxcVitVvA8f13w8fHxqK+vR3Z2dsCbTQwGAyYnJ2G1WuFyuaSbt0KhQGJiIrKysrBjxw6kpaUFPDae5zEyMgKTyQSHwwGO48BxHBhjYIwhMTERDz74YFAW4pudnZUudJ7npbxxHAeFQoHIyEiUlJSgrKwsoB34giBgeHgYZrP5upwBVycf7tmzBwUFBQGv8jZt2oSNGzfCbrdDp9NJN0u73S5VXGKcAJCamoqampqADDTYsWOH9FC1tLSEhYUFjI2NQRAE6W/EJ1/GGFJSUgI2pyUqKgpRUVFIS0uTNtTS6/VYXFxEf3+/dJyVSiV27tyJ1NTUgMQVHx+P+Ph4aDQauFwumEwmLC0tYWlpyS13SqUS5eXlAb2/paamIiUlRarUdTodlpaWMDw8DLvdLv2dQqGARqNBXl5eQAe0+OSOoFAoUFhYKFUqdrsdLpcLHMdBpVJBpVIhPDwcPM9jbGzMq8/wdsSFUqlEQUEBBEGQnsycTidUKhUiIiIQFhYGjuNgtVqDEltOTg6ys7PB8zwcDgccDod0EwoPD0dUVBTsdrvXscXHx3sdW1FREQRBkI4pz/NQKpUICwuDQqGQ/jk5ORmw2G6WM0EQoFQqpbkOHMdhfHw8YHEBV5tJZmdn3f6f2JwiVnviQ424KVNYWBgWFhZW/RneLrSpUCgwNzfn9j65ublwuVxwOp3geV66VsWbo1KpxPz8vN9ju1HexJjT0tKQkpICh8MBnucRGRkJQRDcvou/YlMoFDeMKzY2FjExMdL5JwgCIiMjoVKpAhIXcOOcKRQKSTji+QYAkZGRUCqVHp1na4lNipGtfIzyEpfLteq/FQQBJpPJ4wtYfGrxFE9iE2+iMTExHn1GIGLzlkDEptfrER8f7/ETmzexeRIXYwwGg8HjZVS8zRnP86v+W/HJ0tNJf2LV6CmexGaxWBAeHu5xNRqI2LzFm9g8iYsxBpPJ5PGDZiByxvM8bDabV/e1tVT+PpGLJ8zNzaG3txeJiYnIy8uT1fpJ/f39WFxcxNatW2U3Zp7neVgsFqnvQy7Mzs6ir68PJSUlfu/0XS3iqJixsTFYrVbs3LlTdguiDg8PY2FhAampqdiwYYNsZpYzxnDx4kWoVCqUlJTIar4ScPU6sFqtUj+RHBCXnllYWMD27dtlcyx5npf6lMPCwgK+nl7Ahx2lpaVhw4YN6Orqwp/+9Ce8/fbbmJmZCXQYNyQvLw9TU1N49dVXPS4h/Y1Wq8VLL70ErVYb7FAkenp68MYbb0AQBKSlpQU7HDDG0NfXh7/85S947bXXMDs7i02bNslOLACQm5uLxMREdHd344MPPkBnZycsFkuwwwLHccjPz8fY2BiamprgcDiCHZIbRqMRDQ0N0uKewUZcJfrixYvIzMyUhVhcLhf6+vpw9OhRdHR0ICwsDBs3bgx4HAGvXEQYYxgaGkJbWxu0Wi1ycnJQXV2NzMzMYIQjIc4y1+v1ePjhh2WzPtbCwgJeffVVPP7447KIqbu7G8eOHcPmzZuDPrlOEAQMDAygra0NOp0OGo0G1dXVsqmkboXL5cLw8DAGBgbgcDiQl5eHTZs2edyE4Wv0ej2am5sRHR2NvXv3ymY1CJ1OhxMnTuDAgQNBXyNOFMv4+DgqKyuDvnqB0+nE8PAwBgcHwfM8NBoNiouLg7bKSNDkIsIYw/DwMNra2rC0tITs7GxUV1cjKysraDE5HA68/fbb0Ol0shGMnOSyUiwHDhwIWhyCIKC/vx/t7e3Q6XTIz89HdXW1LKooT3G5XBgZGZFGRslBMgaDAU1NTYiKikJtba0sBCMXuYjLzkxMTARdLE6nE0NDQxgaGpKksnHjxqBX7EGXi4jYbtnW1obFxUVs2LAB1dXVAZnscyNWCuahhx4K+g1LLnLp6urC8ePHsWXLFuzfvz8oMQiCgL6+PrS3t0Ov1yM/P18anhrqiEPT+/r64HA4kJubi02bNgWtD9BgMKC5uRmRkZGyEIwc5LJSLFVVVcjOzg5KHCulIgiCVKkEWyoispGLiCiZ9vZ2LCwsICsrCzt37gyKZBwOB9555x1otVo8/PDDQRWMHORy5coVnDhxAlu3bsVdd90V8M8XpdLW1gaDwYCCggJUV1evC6lciyiZ/v5+2O32oEpGToIJtlzkIBa5S0VEdnJZiVjJiJKprq4O+MFcKZiHHnooaO34wZaLKJZt27Zh3759Af1sQRDQ29uL9vZ2GAwGFBYWorq62q/rcMkFnucxOjqKvr4+2O125OTkoKSkJOCSMRqNaGpqQkREBGpra4PWcR1MuTDG0NHRgcnJyaC0qjgcDkkqjDHk5+ejqKhIdlIRkbVcREZHR9Ha2oqFhQVkZmaiuro6oG2cTqcT77zzDpaWloImmGDK5fLlyzh58mTAxcLzPHp7e9HR0QGDwYCioiJUV1fLcotdfyNKpr+/HzabDdnZ2SgpKQnocu5yEEyw5BJMsdxIKsXFxbIYmXYrQkIuImNjY2htbcX8/DwyMjKwc+fOgElGFMzi4iIefvjhgAsmWHIRxbJ9+3bU1tYG5DNFqbS3t8NoNN7RUrkWcZWLvr4+WK1WqZIJlGSMRiOam5sRHh4eFMEEQy6MMbS3t2Nqago7d+4M2GAjh8OBwcFBDA8PgzGGgoICFBUVyV4qIiElF5GxsTG0tbVhbm4O6enp2LlzJ3Jzc/3+uU6nE++++y4WFhbw0EMPBXR/kGDI5dKlSzh16hR27NiBvXv3+v3zeJ5HT08POjo6YDQaUVxcjOrqaiQlJfn9s0MNQRCk5jKr1SpVMt4uXeMJomDCwsKwb9++gN7sAi2XYIjFbrdLUgEQclIRCUm5iIyPj6O1tVWSTHV1td+XuV4pmE984hMBm5cTaLlcvHgRTU1NARGLKJX29naYTCZs3LgRVVVVJJVVIAiCVMlYLJaAScZkMqGpqQlhYWGora0NWLt/IOUiCALa29sxPT0dELGslArHcZJUgj1Cz1tCWi4iExMTaG1txezsbEAk43Q68d5772F+fj5gggmkXESxVFRUYM+ePX77HJ7n0d3djY6ODpjNZqlSSUxM9NtnrleulcyGDRtQWlrqV8kEQzCBkosolpmZGezcudOv17jdbsfAwABGRkbWhVRE1oVcRCYmJtDW1oaZmRmkpaWhuroaGo3GL5+1UjAPPvig359qAiWXCxcuoLm5GZWVldi9e7dfPoPneXR1daGjowMWi0WqVEgqa0cQBIyPj6O3t1eSTElJid/W8DOZTGhuboZKpQqIYAIhF0EQ0NbWhtnZWb+KxWazYXBwUJJKYWEhCgsLQ14qIutKLiKTk5Noa2vD9PQ0UlNTUV1djfz8fJ9/jsvlwnvvvYe5uTm/CyYQcjl//jxOnz7tN7G4XC50dXVJ62ht2rQJVVVVQV/GYz0iSqavrw9msxlZWVkoLS31i2TMZjOampqkzaj8KRh/y2WlWGpqavzSr2qz2TAwMIDR0dF1KRWRdSkXkampKbS2tkqSqaqqQkFBgU8/QxTM7OwsPvGJT/hNMP6WS2dnJ1paWlBVVYVdu3b59L1FqXR0dMBqtZJUAoggCNLOmKJkSkpKfJ77QAnGn3IRBEHqw/WHWFZKRdwDq7CwMGA7uAaadS0XkenpabS2tmJqagopKSlSJeOrxRZdLhfef/99zMzM4MEHH/TLGHh/ykUUS3V1NWpqanz2vi6XC1euXEFnZyesVitKSkpQVVUlq20W7hQYY1IlYzKZkJmZidLSUp/eoFcKpra21i8LJvpLLv4Ui81mQ39/P0ZHR6FUKte9VETuCLmITE9Po62tDZOTk0hOTkZ1dTUKCgp8IpmVgnnggQd8vpKAv+TS0dGBM2fO+FQsTqdTkordbpekEohhssStYYxJlYw/JGM2m9Hc3AyO47Bv3z6fC8YfchEEAefOncP8/Dx27drlszls10qlqKgIBQUF614qIneUXERmZmbQ1taGiYkJJCcno6qqCoWFhWuWjMvlwgcffIDp6WmfC8Yfcmlvb8fZs2exc+dO7Ny5c83v53Q6cfnyZZw/f56kInNEyfT19cFoNCIjIwOlpaU+GVRhsVjQ1NTkF8H4Wi7+EIvVakV/fz/GxsagUqmkSkVuG6/5mztSLiKzs7NobW3FxMQEkpKSUF1dvWbJ8DyP999/H1NTU3jggQd8toKAr+UiiqWmpgbV1dVrei9RKp2dnXA4HCgtLUVlZSVJJQRgjGFychK9vb0wGo1IT09HaWnpmucYrRRMbW3tmvdjF/GlXHwtlmulIlYqd5pURO5ouYjMzs6ira0N4+PjSEpKQlVVFYqKiryWDM/z+OCDDzA5OekzwfhSLm1tbTh37tyaxeJwOKRKxeFwoKysDJWVlQFd74rwDYwxTE1Noaenx2eSEQUDAPv27fOJYHwlF57npfUKd+3ataYVzy0WC/r7+zE+Pk5SWQHJZQVzc3Noa2vD2NgYEhMTUVVVheLiYq8k42vB+Eoura2taG1txa5du1BVVeXVezgcDly6dAkXLlyA0+mUKhWSSugjSqa3txcGgwHp6ekoKSnxel03XwvGF3LheR7nzp3D4uLimsRyrVSKi4uRn59/x0tFhORyA1ZKRq1Wo7q62ivJ8DyPDz/8EBMTE7j//vvXtP6ZL+QiimX37t2orKz0+PUOhwMXL17EhQsX4HK5pEolWBtZEf6DMYbp6Wn09PTAYDAgLS0NpaWlXknGarWiqakJjLE1C2atclkplt27d3t1LVksFvT19WF8fBzh4eGSVJRKpcfvtZ4hudyC+fl5tLW1YXR0FGq1WqpkFArFqt9jpWDuu+8+r5elWatczp07h7a2Nq/Ecq1UysvLUVFRQVK5A7iRZEpKSjzeS8dXglmLXHiex9mzZ7G0tOSVWMxms1SpkFRuD8llFSwsLKCtrQ0jIyNQq9WorKzExo0bVy0Znudx9OhRjI+Pey2YtchFFMuePXtQUVGx6tfZ7XZcvHgRFy9ehMvlwubNm1FRURHUfd2J4MAYw8zMDHp6eqDX65GamorS0lKPJLNSMLW1tV6dR97KZaVY9uzZ41HcZrMZfX19mJiYQEREBIqLi6HRaEgqt4Hk4gELCwtob2/H8PAwEhISUFVVtWrJ8DyPjz76CGNjY14Jxlu5nD17Fu3t7di7dy927NixqtfY7XZcuHABFy9eBM/zJBVC4lrJpKSkoLS0dNXnpNVqRXNzM3iex759+zw+p7yRi7diMZlM6O/vJ6l4CcnFCxYXF9HW1obh4WHEx8ejqqoKmzZtuq1kRMGMjo7ivvvu82hRTW/kcubMGXR0dKxaLDabTapUBEGQpOKrYaTE+kKUjE6n80gyaxGMp3LheR5nzpyBVqtdtVhMJhP6+vowOTlJUlkDJJc1sLi4iPb2dgwNDSE+Ph6VlZUoKSm5pWQEQcBHH32EkZER3HvvvateUNNTubS0tKCzsxO1tbXYvn37Lf/WZrPhwoULuHTpEgRBwJYtW7Bjxw6SCrEqVkomOTkZpaWltx2BZbPZ0NTU5LFgPJHLSrHs3bv3toMRjEYj+vv7Jals3LgReXl5JBUvIbn4gKWlJbS3t2NwcBBxcXFSJXOzk9IbwXgiF1Es+/btw7Zt2276dzabDefPn8elS5fAGMPWrVuxY8cOv6wJRax/Zmdn0dPTg+Xl5VVJxmazobm5GS6XC7W1tasaILJaufA8j5aWFuh0OuzZs+eWYjEajVKlEhUVhY0bNyI3N5ekskZILj5Eq9Wira1NkoxYydzoJBUEAR9//DGGh4dx+PDh267WvFq5nD59GufPn7+lWFZKBYBUqZBUCF8wNzeH7u5uLC8vIykpCaWlpTed/S4Kxul0Yt++fbcVzGrk4nK5cObMmduK5UZSycvL82g0KHFzSC5+QKvVor29HQMDA4iNjUVlZSVKS0uvk4wgCGhoaMDQ0NBtBbMauTQ3N+PChQu46667sHXr1ut+b7Vacf78eVy+fBkApEolUFvUEncWc3Nz6OnpgVarvaVk7HY7mpqaViWY28nF5XKhpaUFer0ee/fuveEKAwaDAX19fZiamkJUVBQ2bdqE3NxckoqPIbn4keXlZbS3t6O/v/+mklkpmHvuuQeFhYU3fK/byUUUy/79+7Flyxa331mtVnR2duLy5cvgOA7btm3D9u3bSSpEQJibm0Nvby+WlpaQmJiI0tLS65a0XymY2tram672cCu53E4sK6USHR0tNX+RVPwDySUAiJIZGBhAdHQ0KisrUVZWJklGFMzg4CDuueceFBUVub2eMYa+vj5JLps2bXJbLaCpqQkXL168TiwWi0WqVBQKBbZu3UpSIYLG/Pw8enp6bioZu92O5uZmOByOGwqGMYbh4WE0Njairq7ObbuMW4nFYDCgt7cX09PTiI6OxqZNm5CTk0NS8TMklwCi0+mkSiY6OhoVFRUoKyuDSqWCIAhobGzEwMCAJBidToeXXnoJP//5zzE0NCS9T2FhIb7+9a/jC1/4Ai5fvoyLFy/iwIED2Lx5M4CrUuns7MSVK1egUCiwbds2bNu2jaRCyIL5+Xn09vZicXERarUapaWl0j71omDsdjv27duHuLi4214Hn/vc59DV1QWj0Yi9e/dK2wbo9Xr09vZiZmaGpBIESC5BYKVkoqKiUFFRgfLyciiVSjQ2NqK/vx+RkZF45plnYLFYAFx9ahMRn9YiIiLwj//4j/jqV7+K8vJymM1mSSpKpRLbt2/Htm3bEBEREZTvSRC3YmFhAT09PddJxm634/Tp07DZbLDb7fj85z9/0+uAMYbIyEj8z//5P/H1r38diYmJblKJiYnBpk2bkJ2dTVIJMCSXIKLX69He3o6+vj5JMmVlZfjpT3+K73znOwDcL6Zr4TgOHMfhrbfeQlJSEq5cuQKVSiVVKiQVIhRYWFhAb28vFhYWkJCQIC2Q+eyzz+Lb3/42GGOrug5ee+01bNiwAbOzs5JUcnJyfLadOeEZJBcZoNfr0dHRgd7eXjDG8M1vfhN2u31Vr+U4DmFhYfjJT36CPXv2YNu2bQgPD/dzxAThexYXF9HT04OFhQUolUp85jOfgc1mW9VrOY5DeHg4XnnlFVRWViI7O5ukEmSoTpQBCQkJOHToEJ588kn09PSsWizA1crG4XCA53lUV1eTWIiQJSUlBfv27cNdd92FY8eOrVoswNXrwG63Y2xsjKoVmUCVi4xgjKG4uNit03I1cByHgoICDAwM0EVFhDx0HawPSC4yYnFxcU27TC4uLnq9YyBByAW6DtYH1CwmI0wm05pebzQafRQJQQQPug7WByQXGbHWnR1pD3tiPUDXwfqA5CIjkpOTUVhY6HF7McdxKCwsvOE6SgQRatB1sD4gucgIjuPw9a9/3avXPvPMM9SJSawL6DpYH1CHvszQ6XTIzs6G1WqFIAi3/XuFQoGoqChMTk56tKc4QcgZug5CH6pcZIZarcabb74JjuNuu1yFQqGQZujTBUWsJ+g6CH1ILjLk8OHDeO+99xAVFSUtbbES8f9FRUXh/fffxz333BOkSAnCf9B1ENqQXGTK4cOHMTk5iWefffa6TcQKCgrw7LPPYmpqii4oYl1D10HoQn0uIQBjDFqtFkajEXFxcUhKSqJOS+KOg66D0ILkQhAEQfgcahYjCIIgfA7JhSAIgvA5JBeCIAjC55BcCIIgCJ9DciEIgiB8DsmFIAiC8DkkF4IgCMLnkFwIgiAIn0NyIQiCIHwOyYUgCILwOSQXgiAIwueQXAiCIAifQ3IhCIIgfA7JhSAIgvA5/x+KOztf+LbWIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, scale_base_mu=5, scale_base_sigma=0)\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x) # forward is needed to collect activations for plotting\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bb2b1358",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = KAN(width=[2,5,1], grid=5, k=3, seed=0, sparse_init=True)\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x) # forward is needed to collect activations for plotting\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fc98e243",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
